20101102101 has 32 divisors (see below), whose sum is σ = 30037852800. Its totient is φ = 13284708480.

The previous prime is 20101101997. The next prime is 20101102111. The reversal of 20101102101 is 10120110102.

It is a happy number.

It is not a de Polignac number, because 20101102101 - 2⁹ = 20101101589 is a prime.

It is a super-2 number, since 2×20101102101² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101102111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3033570 + ... + 3040188.

It is an arithmetic number, because the mean of its divisors is an integer number (938682900).

Almost surely, 2^20101102101 is an apocalyptic number.

It is an amenable number.

20101102101 is a deficient number, since it is larger than the sum of its proper divisors (9936750699).

20101102101 is a wasteful number, since it uses less digits than its factorization.

20101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7586 (or 7580 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 20101102101 its reverse (10120110102), we get a palindrome (30221212203).

The spelling of 20101102101 in words is "twenty billion, one hundred one million, one hundred two thousand, one hundred one".