122010011122100 has 72 divisors (see below), whose sum is σ = 269749352233368. Its totient is φ = 47893178368000.

The previous prime is 122010011122061. The next prime is 122010011122133. The reversal of 122010011122100 is 1221110010221.

It can be written as a sum of positive squares in 12 ways, for example, as 22637384031376 + 99372627090724 = 4757876^2 + 9968582^2 .

It is a super-2 number, since 2×122010011122100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52310909 + ... + 54593508.

It is an arithmetic number, because the mean of its divisors is an integer number (3746518781019).

Almost surely, 2^{122010011122100} is an apocalyptic number.

122010011122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122010011122100 is an abundant number, since it is smaller than the sum of its proper divisors (147739341111268).

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

122010011122100 is a wasteful number, since it uses less digits than its factorization.

122010011122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106904645 (or 106904638 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 122010011122100 its reverse (1221110010221), we get a palindrome (123231121132321).

The spelling of 122010011122100 in words is "one hundred twenty-two trillion, ten billion, eleven million, one hundred twenty-two thousand, one hundred".