10100102101 has 16 divisors (see below), whose sum is σ = 10857424896. Its totient is φ = 9362013696.

The previous prime is 10100102093. The next prime is 10100102119. The reversal of 10100102101 is 10120100101.

It is not a de Polignac number, because 10100102101 - 2³ = 10100102093 is a prime.

It is a super-2 number, since 2×10100102101² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100102191) 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, 278710 + ... + 312856.

It is an arithmetic number, because the mean of its divisors is an integer number (678589056).

Almost surely, 2^10100102101 is an apocalyptic number.

It is an amenable number.

10100102101 is a deficient number, since it is larger than the sum of its proper divisors (757322795).

10100102101 is a wasteful number, since it uses less digits than its factorization.

10100102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34428.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 10100102101 its reverse (10120100101), we get a palindrome (20220202202).

The spelling of 10100102101 in words is "ten billion, one hundred million, one hundred two thousand, one hundred one".