101021101201020 has 384 divisors, whose sum is σ = 390047234476032. Its totient is φ = 18852980428800.

The previous prime is 101021101200991. The next prime is 101021101201021. The reversal of 101021101201020 is 20102101120101.

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 = 101021101200987 and 101021101201005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021101201021) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20507551 + ... + 24951990.

It is an arithmetic number, because the mean of its divisors is an integer number (1015748006448).

Almost surely, 2^{101021101201020} is an apocalyptic number.

101021101201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021101201020 is an abundant number, since it is smaller than the sum of its proper divisors (289026133275012).

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

101021101201020 is a wasteful number, since it uses less digits than its factorization.

101021101201020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45459621 (or 45459619 counting only the distinct ones).

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

Adding to 101021101201020 its reverse (20102101120101), we get a palindrome (121123202321121).

The spelling of 101021101201020 in words is "one hundred one trillion, twenty-one billion, one hundred one million, two hundred one thousand, twenty".