100121102100 has 108 divisors (see below), whose sum is σ = 321478395420. Its totient is φ = 26047756800.

The previous prime is 100121102099. The next prime is 100121102111. The reversal of 100121102100 is 1201121001.

It is a happy number.

100121102100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 34304225796 + 65816876304 = 185214^2 + 256548^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1319755 + ... + 1393554.

Almost surely, 2^100121102100 is an apocalyptic number.

100121102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121102100 is an abundant number, since it is smaller than the sum of its proper divisors (221357293320).

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

100121102100 is a wasteful number, since it uses less digits than its factorization.

100121102100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2713370 (or 2713360 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100121102100 its reverse (1201121001), we get a palindrome (101322223101).

The spelling of 100121102100 in words is "one hundred billion, one hundred twenty-one million, one hundred two thousand, one hundred".