100102102101 has 36 divisors (see below), whose sum is σ = 150567300000. Its totient is φ = 66547278216.

The previous prime is 100102102069. The next prime is 100102102117. The reversal of 100102102101 is 101201201001.

It is a happy number.

It is not a de Polignac number, because 100102102101 - 2⁵ = 100102102069 is a prime.

It is a super-2 number, since 2×100102102101² (a number of 23 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 (100102102171) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2334150 + ... + 2376648.

It is an arithmetic number, because the mean of its divisors is an integer number (4182425000).

Almost surely, 2^100102102101 is an apocalyptic number.

It is an amenable number.

100102102101 is a deficient number, since it is larger than the sum of its proper divisors (50465197899).

100102102101 is an frugal number, since it uses more digits than its factorization.

100102102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42882 (or 42861 counting only the distinct ones).

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

Adding to 100102102101 its reverse (101201201001), we get a palindrome (201303303102).

The spelling of 100102102101 in words is "one hundred billion, one hundred two million, one hundred two thousand, one hundred one".