101020000010112 has 80 divisors (see below), whose sum is σ = 300633883162800. Its totient is φ = 33673333333248.

The previous prime is 101020000010093. The next prime is 101020000010113. The reversal of 101020000010112 is 211010000020101.

It is a happy number.

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 = 101020000010094 and 101020000010103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020000010113) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 4871710312 + ... + 4871731047.

It is an arithmetic number, because the mean of its divisors is an integer number (3757923539535).

Almost surely, 2^{101020000010112} is an apocalyptic number.

101020000010112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020000010112 is an abundant number, since it is smaller than the sum of its proper divisors (199613883152688).

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

101020000010112 is an frugal number, since it uses more digits than its factorization.

101020000010112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9743441385 (or 9743441364 counting only the distinct ones).

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

Adding to 101020000010112 its reverse (211010000020101), we get a palindrome (312030000030213).

The spelling of 101020000010112 in words is "one hundred one trillion, twenty billion, ten thousand, one hundred twelve".