2120564635101 has 24 divisors (see below), whose sum is σ = 3422995692480. Its totient is φ = 1253844571200.

The previous prime is 2120564635069. The next prime is 2120564635121. The reversal of 2120564635101 is 1015364650212.

2120564635101 is a `hidden beast` number, since 2 + 1 + 2 + 0 + 5 + 6 + 4 + 635 + 10 + 1 = 666.

It is not a de Polignac number, because 2120564635101 - 2⁵ = 2120564635069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2120564635121) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 261213561 + ... + 261221678.

It is an arithmetic number, because the mean of its divisors is an integer number (142624820520).

Almost surely, 2^{2120564635101} is an apocalyptic number.

It is an amenable number.

2120564635101 is a deficient number, since it is larger than the sum of its proper divisors (1302431057379).

2120564635101 is a wasteful number, since it uses less digits than its factorization.

2120564635101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522435297 (or 522435294 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2120564635101 in words is "two trillion, one hundred twenty billion, five hundred sixty-four million, six hundred thirty-five thousand, one hundred one".