101020102001020 has 48 divisors (see below), whose sum is σ = 213549995937600. Its totient is φ = 40139899084800.

The previous prime is 101020102000969. The next prime is 101020102001051. The reversal of 101020102001020 is 20100201020101.

It is a super-2 number, since 2×101020102001020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 101020102000988 and 101020102001006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284635836 + ... + 284990524.

It is an arithmetic number, because the mean of its divisors is an integer number (4448958248700).

Almost surely, 2^{101020102001020} is an apocalyptic number.

101020102001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020102001020 is an abundant number, since it is smaller than the sum of its proper divisors (112529893936580).

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

101020102001020 is a wasteful number, since it uses less digits than its factorization.

101020102001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449158 (or 449156 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101020102001020 its reverse (20100201020101), we get a palindrome (121120303021121).

The spelling of 101020102001020 in words is "one hundred one trillion, twenty billion, one hundred two million, one thousand, twenty".