20101002102112 has 24 divisors (see below), whose sum is σ = 39635585601192. Its totient is φ = 10034821632000.

The previous prime is 20101002102107. The next prime is 20101002102113. The reversal of 20101002102112 is 21120120010102.

It is a super-2 number, since 2×20101002102112² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20101002102092 and 20101002102101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101002102113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 489961014 + ... + 490002037.

It is an arithmetic number, because the mean of its divisors is an integer number (1651482733383).

Almost surely, 2^{20101002102112} is an apocalyptic number.

It is an amenable number.

20101002102112 is a deficient number, since it is larger than the sum of its proper divisors (19534583499080).

20101002102112 is an equidigital number, since it uses as much as digits as its factorization.

20101002102112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979963702 (or 979963694 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20101002102112 its reverse (21120120010102), we get a palindrome (41221122112214).

The spelling of 20101002102112 in words is "twenty trillion, one hundred one billion, two million, one hundred two thousand, one hundred twelve".