100012121221200 has 60 divisors (see below), whose sum is σ = 320372161649088. Its totient is φ = 26669898992000.

The previous prime is 100012121221183. The next prime is 100012121221223. The reversal of 100012121221200 is 2122121210001.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100012121221200.

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, 41671715976 + ... + 41671718375.

Almost surely, 2^{100012121221200} is an apocalyptic number.

100012121221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012121221200 is an abundant number, since it is smaller than the sum of its proper divisors (220360040427888).

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

100012121221200 is a wasteful number, since it uses less digits than its factorization.

100012121221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83343434372 (or 83343434361 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100012121221200 its reverse (2122121210001), we get a palindrome (102134242431201).

The spelling of 100012121221200 in words is "one hundred trillion, twelve billion, one hundred twenty-one million, two hundred twenty-one thousand, two hundred".