100101210220100 has 72 divisors (see below), whose sum is σ = 217971036934728. Its totient is φ = 39901987814400.

The previous prime is 100101210220069. The next prime is 100101210220103. The reversal of 100101210220100 is 1022012101001.

It can be written as a sum of positive squares in 12 ways, for example, as 158482017604 + 99942728202496 = 398098^2 + 9997136^2 .

It is not an unprimeable number, because it can be changed into a prime (100101210220103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 761177552 + ... + 761309048.

Almost surely, 2^{100101210220100} is an apocalyptic number.

100101210220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100101210220100 is an abundant number, since it is smaller than the sum of its proper divisors (117869826714628).

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

100101210220100 is a wasteful number, since it uses less digits than its factorization.

100101210220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157785 (or 157778 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100101210220100 its reverse (1022012101001), we get a palindrome (101123222321101).

The spelling of 100101210220100 in words is "one hundred trillion, one hundred one billion, two hundred ten million, two hundred twenty thousand, one hundred".