122102100012020 has 24 divisors (see below), whose sum is σ = 256414823080584. Its totient is φ = 48840761327616.

The previous prime is 122102100012007. The next prime is 122102100012103. The reversal of 122102100012020 is 20210001201221.

It can be written as a sum of positive squares in 4 ways, for example, as 97464834615184 + 24637265396836 = 9872428^2 + 4963594^2 .

It is a junction number, because it is equal to n+sod(n) for n = 122102100011986 and 122102100012004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8732744 + ... + 17901536.

It is an arithmetic number, because the mean of its divisors is an integer number (10683950961691).

Almost surely, 2^{122102100012020} is an apocalyptic number.

122102100012020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122102100012020 is an abundant number, since it is smaller than the sum of its proper divisors (134312723068564).

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

122102100012020 is a wasteful number, since it uses less digits than its factorization.

122102100012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9834659 (or 9834657 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 122102100012020 its reverse (20210001201221), we get a palindrome (142312101213241).

The spelling of 122102100012020 in words is "one hundred twenty-two trillion, one hundred two billion, one hundred million, twelve thousand, twenty".