101022014112 has 192 divisors, whose sum is σ = 279769593600. Its totient is φ = 31871508480.

The previous prime is 101022014087. The next prime is 101022014131. The reversal of 101022014112 is 211410220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022014091 and 101022014100.

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, 60965988 + ... + 60967644.

It is an arithmetic number, because the mean of its divisors is an integer number (1457133300).

Almost surely, 2^101022014112 is an apocalyptic number.

101022014112 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 101022014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139884796800).

101022014112 is an abundant number, since it is smaller than the sum of its proper divisors (178747579488).

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

101022014112 is a wasteful number, since it uses less digits than its factorization.

101022014112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2119 (or 2111 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101022014112 its reverse (211410220101), we get a palindrome (312432234213).

The spelling of 101022014112 in words is "one hundred one billion, twenty-two million, fourteen thousand, one hundred twelve".