10102112000020 has 24 divisors (see below), whose sum is σ = 21217586297544. Its totient is φ = 4040244590976.

The previous prime is 10102112000009. The next prime is 10102112000093. The reversal of 10102112000020 is 2000021120101.

It can be written as a sum of positive squares in 4 ways, for example, as 6269154653584 + 3832957346436 = 2503828^2 + 1957794^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10102111999970 and 10102112000006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37375039 + ... + 37644358.

It is an arithmetic number, because the mean of its divisors is an integer number (884066095731).

Almost surely, 2^{10102112000020} is an apocalyptic number.

10102112000020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102112000020 is an abundant number, since it is smaller than the sum of its proper divisors (11115474297524).

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

10102112000020 is a wasteful number, since it uses less digits than its factorization.

10102112000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75026139 (or 75026137 counting only the distinct ones).

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

Adding to 10102112000020 its reverse (2000021120101), we get a palindrome (12102133120121).

The spelling of 10102112000020 in words is "ten trillion, one hundred two billion, one hundred twelve million, twenty", and thus it is an aban number.