100102101221100 has 144 divisors (see below), whose sum is σ = 316327321005696. Its totient is φ = 24238858944000.

The previous prime is 100102101221071. The next prime is 100102101221159. The reversal of 100102101221100 is 1122101201001.

It is a super-2 number, since 2×100102101221100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14869666 + ... + 20525865.

It is an arithmetic number, because the mean of its divisors is an integer number (2196717506984).

Almost surely, 2^{100102101221100} is an apocalyptic number.

100102101221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102101221100 is an abundant number, since it is smaller than the sum of its proper divisors (216225219784596).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100102101221100 is a wasteful number, since it uses less digits than its factorization.

100102101221100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35396416 (or 35396409 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100102101221100 its reverse (1122101201001), we get a palindrome (101224202422101).

The spelling of 100102101221100 in words is "one hundred trillion, one hundred two billion, one hundred one million, two hundred twenty-one thousand, one hundred".