101000000101 has 64 divisors (see below), whose sum is σ = 144161740800. Its totient is φ = 68141088000.

The previous prime is 101000000099. The next prime is 101000000107.

101000000101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101000000101 - 2¹ = 101000000099 is a prime.

101000000101 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 (101000000107) 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, 1894630 + ... + 1947208.

It is an arithmetic number, because the mean of its divisors is an integer number (2252527200).

Almost surely, 2^101000000101 is an apocalyptic number.

101000000101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101000000101 is a deficient number, since it is larger than the sum of its proper divisors (43161740699).

101000000101 is a wasteful number, since it uses less digits than its factorization.

101000000101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52730.

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

It can be divided in two parts, 101000000 and 101, that multiplied together give a square (10201000000 = 101000²).

The spelling of 101000000101 in words is "one hundred one billion, one hundred one", and thus it is an aban number.