10100100100101 has 64 divisors (see below), whose sum is σ = 15028318126080. Its totient is φ = 5981694301440.

The previous prime is 10100100100099. The next prime is 10100100100141.

10100100100101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10100100100101 - 2¹ = 10100100100099 is a prime.

10100100100101 is a strobogrammatic number because it is the same when read upside-down.

It is a self number, because there is not a number n which added to its sum of digits gives 10100100100101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100100100141) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1503211420 + ... + 1503218138.

It is an arithmetic number, because the mean of its divisors is an integer number (234817470720).

Almost surely, 2^{10100100100101} is an apocalyptic number.

10100100100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100100100101 is a deficient number, since it is larger than the sum of its proper divisors (4928218025979).

10100100100101 is a wasteful number, since it uses less digits than its factorization.

10100100100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10106.

The product of its (nonzero) digits is 1, while the sum is 6.

It can be divided in two parts, 10100100 and 100101, that added together give a palindrome (10200201).

The spelling of 10100100100101 in words is "ten trillion, one hundred billion, one hundred million, one hundred thousand, one hundred one".