100216201062100 has 36 divisors (see below), whose sum is σ = 217518347301948. Its totient is φ = 40077412960000.

The previous prime is 100216201062083. The next prime is 100216201062181. The reversal of 100216201062100 is 1260102612001.

It can be written as a sum of positive squares in 6 ways, for example, as 126020740036 + 100090180322064 = 354994^2 + 10004508^2 .

It is a congruent number.

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, 112899001 + ... + 113783200.

It is an arithmetic number, because the mean of its divisors is an integer number (6042176313943).

Almost surely, 2^{100216201062100} is an apocalyptic number.

100216201062100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100216201062100 is an abundant number, since it is smaller than the sum of its proper divisors (117302146239848).

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

100216201062100 is a wasteful number, since it uses less digits than its factorization.

100216201062100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226686636 (or 226686629 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 100216201062100 its reverse (1260102612001), we get a palindrome (101476303674101).

The spelling of 100216201062100 in words is "one hundred trillion, two hundred sixteen billion, two hundred one million, sixty-two thousand, one hundred".