10100000000101 has 48 divisors (see below), whose sum is σ = 11703221066880. Its totient is φ = 8692537392000.

The previous prime is 10100000000053. The next prime is 10100000000137.

10100000000101 is nontrivially palindromic in base 10.

10100000000101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-10100000000101 is a prime.

10100000000101 is a strobogrammatic number because it is the same when read upside-down.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100000000801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1150468330 + ... + 1150477108.

It is an arithmetic number, because the mean of its divisors is an integer number (243817105560).

Almost surely, 2^{10100000000101} is an apocalyptic number.

10100000000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100000000101 is a deficient number, since it is larger than the sum of its proper divisors (1603221066779).

10100000000101 is a wasteful number, since it uses less digits than its factorization.

10100000000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13018 (or 13007 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 4.

It can be divided in two parts, 10100000000 and 101, that multiplied together give a square (1020100000000 = 1010000²).

The spelling of 10100000000101 in words is "ten trillion, one hundred billion, one hundred one", and thus it is an aban number.