10100001010100 has 72 divisors (see below), whose sum is σ = 23658533256960. Its totient is φ = 3731094801280.

The previous prime is 10100001010061. The next prime is 10100001010163. The reversal of 10100001010100 is 101010000101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75645452 + ... + 75778851.

It is an arithmetic number, because the mean of its divisors is an integer number (328590739680).

Almost surely, 2^{10100001010100} is an apocalyptic number.

10100001010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10100001010100 is an abundant number, since it is smaller than the sum of its proper divisors (13558532246860).

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

10100001010100 is a wasteful number, since it uses less digits than its factorization.

10100001010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151424369 (or 151424362 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10100001010100 its reverse (101010000101), we get a palindrome (10201011010201).

The spelling of 10100001010100 in words is "ten trillion, one hundred billion, one million, ten thousand, one hundred".