2102100010120 has 64 divisors (see below), whose sum is σ = 5193870387840. Its totient is φ = 759337728000.

The previous prime is 2102100010111. The next prime is 2102100010147. The reversal of 2102100010120 is 210100012012.

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 = 2102100010097 and 2102100010106.

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, 15753097 + ... + 15885976.

It is an arithmetic number, because the mean of its divisors is an integer number (81154224810).

Almost surely, 2^{2102100010120} is an apocalyptic number.

2102100010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102100010120 is an abundant number, since it is smaller than the sum of its proper divisors (3091770377720).

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

2102100010120 is a wasteful number, since it uses less digits than its factorization.

2102100010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31639246 (or 31639242 counting only the distinct ones).

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

Adding to 2102100010120 its reverse (210100012012), we get a palindrome (2312200022132).

The spelling of 2102100010120 in words is "two trillion, one hundred two billion, one hundred million, ten thousand, one hundred twenty".