100102001222100 has 72 divisors (see below), whose sum is σ = 302220998493120. Its totient is φ = 25533264078080.

The previous prime is 100102001222063. The next prime is 100102001222107. The reversal of 100102001222100 is 1222100201001.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102001222107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7253761305 + ... + 7253775104.

It is an arithmetic number, because the mean of its divisors is an integer number (4197513867960).

Almost surely, 2^{100102001222100} is an apocalyptic number.

100102001222100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102001222100 is an abundant number, since it is smaller than the sum of its proper divisors (202118997271020).

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

100102001222100 is a wasteful number, since it uses less digits than its factorization.

100102001222100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14507536449 (or 14507536442 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102001222100 its reverse (1222100201001), we get a palindrome (101324101423101).

The spelling of 100102001222100 in words is "one hundred trillion, one hundred two billion, one million, two hundred twenty-two thousand, one hundred".