2120101020112 has 40 divisors (see below), whose sum is σ = 4260733088040. Its totient is φ = 1020753000960.

The previous prime is 2120101020091. The next prime is 2120101020113. The reversal of 2120101020112 is 2110201010212.

It can be written as a sum of positive squares in 4 ways, for example, as 431286412176 + 1688814607936 = 656724^2 + 1299544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2120101020092 and 2120101020101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120101020113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5951839 + ... + 6297982.

It is an arithmetic number, because the mean of its divisors is an integer number (106518327201).

Almost surely, 2^{2120101020112} is an apocalyptic number.

It is an amenable number.

2120101020112 is an abundant number, since it is smaller than the sum of its proper divisors (2140632067928).

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

2120101020112 is a wasteful number, since it uses less digits than its factorization.

2120101020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12250231 (or 12250225 counting only the distinct ones).

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

Adding to 2120101020112 its reverse (2110201010212), we get a palindrome (4230302030324).

The spelling of 2120101020112 in words is "two trillion, one hundred twenty billion, one hundred one million, twenty thousand, one hundred twelve".