2101010102120 has 128 divisors (see below), whose sum is σ = 4920839229600. Its totient is φ = 806870777856.

The previous prime is 2101010102053. The next prime is 2101010102131. The reversal of 2101010102120 is 212010101012.

It can be written as a sum of positive squares in 16 ways, for example, as 545409316 + 2100464692804 = 23354^2 + 1449298^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18244562 + ... + 18359358.

Almost surely, 2^{2101010102120} is an apocalyptic number.

2101010102120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101010102120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460419614800).

2101010102120 is an abundant number, since it is smaller than the sum of its proper divisors (2819829127480).

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

2101010102120 is a wasteful number, since it uses less digits than its factorization.

2101010102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115047 (or 115043 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101010102120 its reverse (212010101012), we get a palindrome (2313020203132).

The spelling of 2101010102120 in words is "two trillion, one hundred one billion, ten million, one hundred two thousand, one hundred twenty".