2101757532642 has 24 divisors (see below), whose sum is σ = 4553910975744. Its totient is φ = 700569999864.

The previous prime is 2101757532631. The next prime is 2101757532653. The reversal of 2101757532642 is 2462357571012.

2101757532642 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 7 + 57 + 532 + 64 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (2101757532631) and next prime (2101757532653).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488178 + ... + 2107565.

It is an arithmetic number, because the mean of its divisors is an integer number (189746290656).

Almost surely, 2^{2101757532642} is an apocalyptic number.

2101757532642 is an abundant number, since it is smaller than the sum of its proper divisors (2452153443102).

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

2101757532642 is a wasteful number, since it uses less digits than its factorization.

2101757532642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2640734 (or 2640731 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 2101757532642 in words is "two trillion, one hundred one billion, seven hundred fifty-seven million, five hundred thirty-two thousand, six hundred forty-two".