101220102101 has 16 divisors (see below), whose sum is σ = 107353154304. Its totient is φ = 95107106304.

The previous prime is 101220102077. The next prime is 101220102127. The reversal of 101220102101 is 101201022101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101220102101 is a prime.

It is a super-2 number, since 2×101220102101² (a number of 23 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 (101220102601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47012441 + ... + 47014593.

It is an arithmetic number, because the mean of its divisors is an integer number (6709572144).

Almost surely, 2^101220102101 is an apocalyptic number.

It is an amenable number.

101220102101 is a deficient number, since it is larger than the sum of its proper divisors (6133052203).

101220102101 is a wasteful number, since it uses less digits than its factorization.

101220102101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5500.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101220102101 its reverse (101201022101), we get a palindrome (202421124202).

The spelling of 101220102101 in words is "one hundred one billion, two hundred twenty million, one hundred two thousand, one hundred one".