101012210101 has 16 divisors (see below), whose sum is σ = 110543872320. Its totient is φ = 91539141120.

The previous prime is 101012210077. The next prime is 101012210191.

101012210101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 101012210101 - 2¹¹ = 101012208053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101012210191) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4526910 + ... + 4549168.

It is an arithmetic number, because the mean of its divisors is an integer number (6908992020).

Almost surely, 2^101012210101 is an apocalyptic number.

101012210101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101012210101 is a deficient number, since it is larger than the sum of its proper divisors (9531662219).

101012210101 is a wasteful number, since it uses less digits than its factorization.

101012210101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23556.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 101012 and 210101, that multiplied together give a palindrome (21222722212).

The spelling of 101012210101 in words is "one hundred one billion, twelve million, two hundred ten thousand, one hundred one".