101021021011020 has 96 divisors (see below), whose sum is σ = 308577333044736. Its totient is φ = 24489624448000.

The previous prime is 101021021010997. The next prime is 101021021011039. The reversal of 101021021011020 is 20110120120101.

It is a super-3 number, since 3×101021021011020³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 = 101021021010987 and 101021021011005.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51639745 + ... + 53560295.

It is an arithmetic number, because the mean of its divisors is an integer number (3214347219216).

Almost surely, 2^{101021021011020} is an apocalyptic number.

101021021011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021021011020 is an abundant number, since it is smaller than the sum of its proper divisors (207556312033716).

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

101021021011020 is a wasteful number, since it uses less digits than its factorization.

101021021011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2000271 (or 2000269 counting only the distinct ones).

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

Adding to 101021021011020 its reverse (20110120120101), we get a palindrome (121131141131121).

The spelling of 101021021011020 in words is "one hundred one trillion, twenty-one billion, twenty-one million, eleven thousand, twenty".