10100101164 has 12 divisors (see below), whose sum is σ = 23566902744. Its totient is φ = 3366700384.

The previous prime is 10100101163. The next prime is 10100101181. The reversal of 10100101164 is 46110100101.

It is a tau number, because it is divible by the number of its divisors (12).

It is not an unprimeable number, because it can be changed into a prime (10100101163) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 420837537 + ... + 420837560.

It is an arithmetic number, because the mean of its divisors is an integer number (1963908562).

Almost surely, 2^10100101164 is an apocalyptic number.

It is an amenable number.

10100101164 is an abundant number, since it is smaller than the sum of its proper divisors (13466801580).

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

10100101164 is a wasteful number, since it uses less digits than its factorization.

10100101164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841675104 (or 841675102 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100101164 its reverse (46110100101), we get a palindrome (56210201265).

It can be divided in two parts, 10100101 and 164, that added together give a triangular number (10100265 = T₄₄₉₄).

The spelling of 10100101164 in words is "ten billion, one hundred million, one hundred one thousand, one hundred sixty-four".