122121111122010 has 256 divisors, whose sum is σ = 437244818411520. Its totient is φ = 23423829454080.

The previous prime is 122121111121993. The next prime is 122121111122029. The reversal of 122121111122010 is 10221111121221.

It is a happy number.

122121111122010 is a `hidden beast` number, since 1 + 221 + 211 + 1 + 1 + 1 + 220 + 10 = 666.

It is a super-2 number, since 2×122121111122010² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 225654012 + ... + 226194551.

It is an arithmetic number, because the mean of its divisors is an integer number (1707987571920).

Almost surely, 2^{122121111122010} is an apocalyptic number.

122121111122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122121111122010 is an abundant number, since it is smaller than the sum of its proper divisors (315123707289510).

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

122121111122010 is a wasteful number, since it uses less digits than its factorization.

122121111122010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451848610 (or 451848604 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 122121111122010 its reverse (10221111121221), we get a palindrome (132342222243231).

The spelling of 122121111122010 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred eleven million, one hundred twenty-two thousand, ten".