211002100131120 has 80 divisors (see below), whose sum is σ = 676661907339360. Its totient is φ = 54326977503232.

The previous prime is 211002100131113. The next prime is 211002100131157. The reversal of 211002100131120 is 21131001200112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 211002100131120.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15158189889 + ... + 15158203808.

It is an arithmetic number, because the mean of its divisors is an integer number (8458273841742).

Almost surely, 2^{211002100131120} is an apocalyptic number.

211002100131120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211002100131120 is an abundant number, since it is smaller than the sum of its proper divisors (465659807208240).

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

211002100131120 is a wasteful number, since it uses less digits than its factorization.

211002100131120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30316393742 (or 30316393736 counting only the distinct ones).

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

Adding to 211002100131120 its reverse (21131001200112), we get a palindrome (232133101331232).

The spelling of 211002100131120 in words is "two hundred eleven trillion, two billion, one hundred million, one hundred thirty-one thousand, one hundred twenty".