101021112112 has 40 divisors (see below), whose sum is σ = 203281909760. Its totient is φ = 48581259840.

The previous prime is 101021112047. The next prime is 101021112121. The reversal of 101021112112 is 211211120101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101021112092 and 101021112101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 543912 + ... + 705607.

It is an arithmetic number, because the mean of its divisors is an integer number (5082047744).

Almost surely, 2^101021112112 is an apocalyptic number.

It is an amenable number.

101021112112 is an abundant number, since it is smaller than the sum of its proper divisors (102260797648).

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

101021112112 is a wasteful number, since it uses less digits than its factorization.

101021112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249721 (or 1249715 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101021112112 its reverse (211211120101), we get a palindrome (312232232213).

The spelling of 101021112112 in words is "one hundred one billion, twenty-one million, one hundred twelve thousand, one hundred twelve".