122111021000 has 32 divisors (see below), whose sum is σ = 285739791480. Its totient is φ = 48844408000.

The previous prime is 122111020957. The next prime is 122111021023. The reversal of 122111021000 is 120111221.

It can be written as a sum of positive squares in 4 ways, for example, as 7375717924 + 114735303076 = 85882^2 + 338726^2 .

It is a super-2 number, since 2×122111021000² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61054511 + ... + 61056510.

Almost surely, 2^122111021000 is an apocalyptic number.

122111021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122111021000 is an abundant number, since it is smaller than the sum of its proper divisors (163628770480).

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

122111021000 is a wasteful number, since it uses less digits than its factorization.

122111021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122111042 (or 122111028 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 122111021000 its reverse (120111221), we get a palindrome (122231132221).

The spelling of 122111021000 in words is "one hundred twenty-two billion, one hundred eleven million, twenty-one thousand".