2101131020112 has 160 divisors (see below), whose sum is σ = 5514403162752. Its totient is φ = 689319493632.

The previous prime is 2101131020033. The next prime is 2101131020117. The reversal of 2101131020112 is 2110201311012.

It is a junction number, because it is equal to n+sod(n) for n = 2101131020091 and 2101131020100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101131020117) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 659280183 + ... + 659283369.

Almost surely, 2^{2101131020112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101131020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2757201581376).

2101131020112 is an abundant number, since it is smaller than the sum of its proper divisors (3413272142640).

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

2101131020112 is a wasteful number, since it uses less digits than its factorization.

2101131020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4125 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 2101131020112 its reverse (2110201311012), we get a palindrome (4211332331124).

The spelling of 2101131020112 in words is "two trillion, one hundred one billion, one hundred thirty-one million, twenty thousand, one hundred twelve".