122022122101000 has 256 divisors, whose sum is σ = 316192265625600. Its totient is φ = 43701954912000.

The previous prime is 122022122100971. The next prime is 122022122101057. The reversal of 122022122101000 is 101221220221.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6107509011 + ... + 6107528989.

It is an arithmetic number, because the mean of its divisors is an integer number (1235126037600).

Almost surely, 2^{122022122101000} is an apocalyptic number.

122022122101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122022122101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158096132812800).

122022122101000 is an abundant number, since it is smaller than the sum of its proper divisors (194170143524600).

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

122022122101000 is a wasteful number, since it uses less digits than its factorization.

122022122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28365 (or 28351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 122022122101000 its reverse (101221220221), we get a palindrome (122123343321221).

The spelling of 122022122101000 in words is "one hundred twenty-two trillion, twenty-two billion, one hundred twenty-two million, one hundred one thousand".