212111101020 has 288 divisors, whose sum is σ = 764134233408. Its totient is φ = 43543277568.

The previous prime is 212111101001. The next prime is 212111101061. The reversal of 212111101020 is 20101111212.

It is a super-2 number, since 2×212111101020² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 212111100987 and 212111101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1339144 + ... + 1489136.

It is an arithmetic number, because the mean of its divisors is an integer number (2653243866).

Almost surely, 2^212111101020 is an apocalyptic number.

212111101020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212111101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382067116704).

212111101020 is an abundant number, since it is smaller than the sum of its proper divisors (552023132388).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

212111101020 is a wasteful number, since it uses less digits than its factorization.

212111101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150069 (or 150060 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 212111101020 its reverse (20101111212), we get a palindrome (232212212232).

The spelling of 212111101020 in words is "two hundred twelve billion, one hundred eleven million, one hundred one thousand, twenty".