100102021211200 has 42 divisors (see below), whose sum is σ = 246313535946746. Its totient is φ = 40040808483840.

The previous prime is 100102021211197. The next prime is 100102021211209. The reversal of 100102021211200 is 2112120201001.

It can be written as a sum of positive squares in 3 ways, for example, as 20781052773376 + 79320968437824 = 4558624^2 + 8906232^2 .

It is not an unprimeable number, because it can be changed into a prime (100102021211209) 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 5 ways as a sum of consecutive naturals, for example, 31281880029 + ... + 31281883228.

Almost surely, 2^{100102021211200} is an apocalyptic number.

100102021211200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102021211200 is an abundant number, since it is smaller than the sum of its proper divisors (146211514735546).

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

100102021211200 is an equidigital number, since it uses as much as digits as its factorization.

100102021211200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62563763279 (or 62563763264 counting only the distinct ones).

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

Adding to 100102021211200 its reverse (2112120201001), we get a palindrome (102214141412201).

The spelling of 100102021211200 in words is "one hundred trillion, one hundred two billion, twenty-one million, two hundred eleven thousand, two hundred".