101112000021 has 12 divisors (see below), whose sum is σ = 146053445772. Its totient is φ = 67406717376.

The previous prime is 101112000013. The next prime is 101112000037. The reversal of 101112000021 is 120000211101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 70665588900 + 30446411121 = 265830^2 + 174489^2 .

It is not a de Polignac number, because 101112000021 - 2³ = 101112000013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101111999967 and 101112000012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112000001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 777535 + ... + 898211.

It is an arithmetic number, because the mean of its divisors is an integer number (12171120481).

Almost surely, 2^101112000021 is an apocalyptic number.

It is an amenable number.

101112000021 is a deficient number, since it is larger than the sum of its proper divisors (44941445751).

101112000021 is a wasteful number, since it uses less digits than its factorization.

101112000021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213780 (or 213777 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101112000021 its reverse (120000211101), we get a palindrome (221112211122).

The spelling of 101112000021 in words is "one hundred one billion, one hundred twelve million, twenty-one", and thus it is an aban number.