10101675850101 has 18 divisors (see below), whose sum is σ = 16038381585590. Its totient is φ = 6122227787280.

The previous prime is 10101675850061. The next prime is 10101675850139. The reversal of 10101675850101 is 10105857610101.

10101675850101 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 1 + 67 + 585 + 0 + 10 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9212287280625 + 889388569476 = 3035175^2 + 943074^2 .

It is not a de Polignac number, because 10101675850101 - 2⁹ = 10101675849589 is a prime.

It is a super-2 number, since 2×10101675850101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101675850141) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4638050266 + ... + 4638052443.

Almost surely, 2^{10101675850101} is an apocalyptic number.

10101675850101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10101675850101 is a deficient number, since it is larger than the sum of its proper divisors (5936705735489).

10101675850101 is a wasteful number, since it uses less digits than its factorization.

10101675850101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9276102737 (or 9276102723 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 36.

The spelling of 10101675850101 in words is "ten trillion, one hundred one billion, six hundred seventy-five million, eight hundred fifty thousand, one hundred one".