101020022011020 has 96 divisors (see below), whose sum is σ = 323371435516416. Its totient is φ = 23082621811200.

The previous prime is 101020022010983. The next prime is 101020022011057. The reversal of 101020022011020 is 20110220020101.

It is an interprime number because it is at equal distance from previous prime (101020022010983) and next prime (101020022011057).

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 = 101020022010987 and 101020022011005.

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 31 ways as a sum of consecutive naturals, for example, 38676241 + ... + 41205480.

It is an arithmetic number, because the mean of its divisors is an integer number (3368452453296).

Almost surely, 2^{101020022011020} is an apocalyptic number.

101020022011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020022011020 is an abundant number, since it is smaller than the sum of its proper divisors (222351413505396).

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

101020022011020 is a wasteful number, since it uses less digits than its factorization.

101020022011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79884751 (or 79884749 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020022011020 its reverse (20110220020101), we get a palindrome (121130242031121).

The spelling of 101020022011020 in words is "one hundred one trillion, twenty billion, twenty-two million, eleven thousand, twenty".