10187853520101 has 32 divisors (see below), whose sum is σ = 13749178598400. Its totient is φ = 6709481925120.

The previous prime is 10187853520063. The next prime is 10187853520109. The reversal of 10187853520101 is 10102535878101.

It is not a de Polignac number, because 10187853520101 - 2⁷ = 10187853519973 is a prime.

It is a super-2 number, since 2×10187853520101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10187853520109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 590968440 + ... + 590985678.

It is an arithmetic number, because the mean of its divisors is an integer number (429661831200).

Almost surely, 2^{10187853520101} is an apocalyptic number.

It is an amenable number.

10187853520101 is a deficient number, since it is larger than the sum of its proper divisors (3561325078299).

10187853520101 is a wasteful number, since it uses less digits than its factorization.

10187853520101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20969.

The product of its (nonzero) digits is 67200, while the sum is 42.

The spelling of 10187853520101 in words is "ten trillion, one hundred eighty-seven billion, eight hundred fifty-three million, five hundred twenty thousand, one hundred one".