100200000211600 has 60 divisors (see below), whose sum is σ = 240736067146036. Its totient is φ = 40079073277440.

The previous prime is 100200000211543. The next prime is 100200000211601. The reversal of 100200000211600 is 6112000002001.

It can be written as a sum of positive squares in 6 ways, for example, as 1653559384464 + 98546440827136 = 1285908^2 + 9927056^2 .

It is not an unprimeable number, because it can be changed into a prime (100200000211601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14554714 + ... + 20303686.

Almost surely, 2^{100200000211600} is an apocalyptic number.

100200000211600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200000211600 is an abundant number, since it is smaller than the sum of its proper divisors (140536066934436).

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

100200000211600 is a wasteful number, since it uses less digits than its factorization.

100200000211600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5792564 (or 5792553 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100200000211600 its reverse (6112000002001), we get a palindrome (106312000213601).

The spelling of 100200000211600 in words is "one hundred trillion, two hundred billion, two hundred eleven thousand, six hundred".