101022102110112 has 192 divisors, whose sum is σ = 274826972697984. Its totient is φ = 32472063037440.

The previous prime is 101022102110101. The next prime is 101022102110201. The reversal of 101022102110112 is 211011201220101.

It is a happy number.

It is a super-2 number, since 2×101022102110112² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022102110091 and 101022102110100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 405526458 + ... + 405775494.

It is an arithmetic number, because the mean of its divisors is an integer number (1431390482802).

Almost surely, 2^{101022102110112} is an apocalyptic number.

101022102110112 is a gapful number since it is divisible by the number (12) 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 101022102110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137413486348992).

101022102110112 is an abundant number, since it is smaller than the sum of its proper divisors (173804870587872).

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

101022102110112 is a wasteful number, since it uses less digits than its factorization.

101022102110112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250471 (or 250463 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101022102110112 its reverse (211011201220101), we get a palindrome (312033303330213).

The spelling of 101022102110112 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred ten thousand, one hundred twelve".