101022110112000 has 1728 divisors, whose sum is σ = 425718979305984. Its totient is φ = 20782080000000.

The previous prime is 101022110111939. The next prime is 101022110112041. The reversal of 101022110112000 is 211011220101.

It is a super-3 number, since 3×101022110112000³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8212505850 + ... + 8212518150.

Almost surely, 2^{101022110112000} is an apocalyptic number.

101022110112000 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 101022110112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212859489652992).

101022110112000 is an abundant number, since it is smaller than the sum of its proper divisors (324696869193984).

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

101022110112000 is a wasteful number, since it uses less digits than its factorization.

101022110112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12465 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101022110112000 its reverse (211011220101), we get a palindrome (101233121332101).

The spelling of 101022110112000 in words is "one hundred one trillion, twenty-two billion, one hundred ten million, one hundred twelve thousand".