101022112000 has 72 divisors (see below), whose sum is σ = 251658788472. Its totient is φ = 40408832000.

The previous prime is 101022111961. The next prime is 101022112001. The reversal of 101022112000 is 211220101.

It can be written as a sum of positive squares in 4 ways, for example, as 9179172864 + 91842939136 = 95808^2 + 303056^2 .

It is a super-2 number, since 2×101022112000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (101022112001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1546471 + ... + 1610470.

It is an arithmetic number, because the mean of its divisors is an integer number (3495260951).

Almost surely, 2^101022112000 is an apocalyptic number.

101022112000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022112000 is an abundant number, since it is smaller than the sum of its proper divisors (150636676472).

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

101022112000 is an frugal number, since it uses more digits than its factorization.

101022112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3156972 (or 3156948 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 101022112000 its reverse (211220101), we get a palindrome (101233332101).

The spelling of 101022112000 in words is "one hundred one billion, twenty-two million, one hundred twelve thousand".