101210101012101 has 16 divisors (see below), whose sum is σ = 142885296307584. Its totient is φ = 63504178074624.

The previous prime is 101210101011941. The next prime is 101210101012183.

101210101012101 is nontrivially palindromic in base 10.

101210101012101 is an esthetic number in base 10, because in such base its adjacent digits differ by 1.

It is not a de Polignac number, because 101210101012101 - 2⁹ = 101210101011589 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210101012301) 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, 14264541 + ... + 20146893.

It is an arithmetic number, because the mean of its divisors is an integer number (8930331019224).

Almost surely, 2^{101210101012101} is an apocalyptic number.

It is an amenable number.

101210101012101 is a deficient number, since it is larger than the sum of its proper divisors (41675195295483).

101210101012101 is a wasteful number, since it uses less digits than its factorization.

101210101012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6219740.

The product of its (nonzero) digits is 4, while the sum is 12.

It can be divided in two parts, 10121010 and 1012101, that added together give a palindrome (11133111).

The spelling of 101210101012101 in words is "one hundred one trillion, two hundred ten billion, one hundred one million, twelve thousand, one hundred one".