2120002101000 has 864 divisors, whose sum is σ = 8485316288280. Its totient is φ = 476013888000.

The previous prime is 2120002100999. The next prime is 2120002101013. The reversal of 2120002101000 is 1012000212.

It can be written as a sum of positive squares in 4 ways, for example, as 578734476516 + 1541267624484 = 760746^2 + 1241478^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 1535120310 + ... + 1535121690.

Almost surely, 2^{2120002101000} is an apocalyptic number.

2120002101000 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 2120002101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4242658144140).

2120002101000 is an abundant number, since it is smaller than the sum of its proper divisors (6365314187280).

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

2120002101000 is a wasteful number, since it uses less digits than its factorization.

2120002101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1540 (or 1457 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2120002101000 its reverse (1012000212), we get a palindrome (2121014101212).

The spelling of 2120002101000 in words is "two trillion, one hundred twenty billion, two million, one hundred one thousand".