100101220212100 has 36 divisors (see below), whose sum is σ = 229997274208884. Its totient is φ = 37685165255680.

The previous prime is 100101220212017. The next prime is 100101220212163. The reversal of 100101220212100 is 1212022101001.

It can be written as a sum of positive squares in 6 ways, for example, as 180924323904 + 99920295888196 = 425352^2 + 9996014^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29441533657 + ... + 29441537056.

It is an arithmetic number, because the mean of its divisors is an integer number (6388813172469).

Almost surely, 2^{100101220212100} is an apocalyptic number.

100101220212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101220212100 is an abundant number, since it is smaller than the sum of its proper divisors (129896053996784).

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

100101220212100 is a wasteful number, since it uses less digits than its factorization.

100101220212100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58883070744 (or 58883070737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100101220212100 its reverse (1212022101001), we get a palindrome (101313242313101).

The spelling of 100101220212100 in words is "one hundred trillion, one hundred one billion, two hundred twenty million, two hundred twelve thousand, one hundred".