100212121200100 has 144 divisors (see below), whose sum is σ = 268487758683648. Its totient is φ = 31615434754560.

The previous prime is 100212121200083. The next prime is 100212121200193. The reversal of 100212121200100 is 1002121212001.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14484892 + ... + 20254291.

It is an arithmetic number, because the mean of its divisors is an integer number (1864498324192).

Almost surely, 2^{100212121200100} is an apocalyptic number.

100212121200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212121200100 is an abundant number, since it is smaller than the sum of its proper divisors (168275637483548).

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

100212121200100 is a wasteful number, since it uses less digits than its factorization.

100212121200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34739534 (or 34739527 counting only the distinct ones).

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

Adding to 100212121200100 its reverse (1002121212001), we get a palindrome (101214242412101).

100212121200100 divided by its reverse (1002121212001) gives a square (100 = 10²).

The spelling of 100212121200100 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-one million, two hundred thousand, one hundred".