10122011011020 has 48 divisors (see below), whose sum is σ = 28380615314688. Its totient is φ = 2695490128320.

The previous prime is 10122011011009. The next prime is 10122011011069. The reversal of 10122011011020 is 2011011022101.

It is a super-2 number, since 2×10122011011020² (a number of 27 digits) contains 22 as substring.

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 = 10122011010987 and 10122011011005.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115981266 + ... + 116068505.

It is an arithmetic number, because the mean of its divisors is an integer number (591262819056).

Almost surely, 2^{10122011011020} is an apocalyptic number.

10122011011020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10122011011020 is an abundant number, since it is smaller than the sum of its proper divisors (18258604303668).

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

10122011011020 is a wasteful number, since it uses less digits than its factorization.

10122011011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232050510 (or 232050508 counting only the distinct ones).

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

Adding to 10122011011020 its reverse (2011011022101), we get a palindrome (12133022033121).

The spelling of 10122011011020 in words is "ten trillion, one hundred twenty-two billion, eleven million, eleven thousand, twenty".