100001022212100 has 72 divisors (see below), whose sum is σ = 306356072768928. Its totient is φ = 25098295769600.

The previous prime is 100001022212099. The next prime is 100001022212171. The reversal of 100001022212100 is 1212220100001.

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 23 ways as a sum of consecutive naturals, for example, 9804016686 + ... + 9804026885.

It is an arithmetic number, because the mean of its divisors is an integer number (4254945455124).

Almost surely, 2^{100001022212100} is an apocalyptic number.

100001022212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100001022212100 is an abundant number, since it is smaller than the sum of its proper divisors (206355050556828).

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

100001022212100 is a wasteful number, since it uses less digits than its factorization.

100001022212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19608043605 (or 19608043598 counting only the distinct ones).

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

Adding to 100001022212100 its reverse (1212220100001), we get a palindrome (101213242312101).

The spelling of 100001022212100 in words is "one hundred trillion, one billion, twenty-two million, two hundred twelve thousand, one hundred".