100121202012120 has 128 divisors (see below), whose sum is σ = 308558313973440. Its totient is φ = 25970927892480.

The previous prime is 100121202012089. The next prime is 100121202012173. The reversal of 100121202012120 is 21210202121001.

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 100121202012120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15049234 + ... + 20657246.

Almost surely, 2^{100121202012120} is an apocalyptic number.

100121202012120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100121202012120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154279156986720).

100121202012120 is an abundant number, since it is smaller than the sum of its proper divisors (208437111961320).

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

100121202012120 is a wasteful number, since it uses less digits than its factorization.

100121202012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612085 (or 5612081 counting only the distinct ones).

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

Adding to 100121202012120 its reverse (21210202121001), we get a palindrome (121331404133121).

The spelling of 100121202012120 in words is "one hundred trillion, one hundred twenty-one billion, two hundred two million, twelve thousand, one hundred twenty".