100121002120 has 64 divisors (see below), whose sum is σ = 228380439600. Its totient is φ = 39498117120.

The previous prime is 100121002067. The next prime is 100121002133. The reversal of 100121002120 is 21200121001.

It can be written as a sum of positive squares in 8 ways, for example, as 34430286916 + 65690715204 = 185554^2 + 256302^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100121002097 and 100121002106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1377900 + ... + 1448740.

Almost surely, 2^100121002120 is an apocalyptic number.

100121002120 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 100121002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114190219800).

100121002120 is an abundant number, since it is smaller than the sum of its proper divisors (128259437480).

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

100121002120 is a wasteful number, since it uses less digits than its factorization.

100121002120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71338 (or 71334 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100121002120 its reverse (21200121001), we get a palindrome (121321123121).

The spelling of 100121002120 in words is "one hundred billion, one hundred twenty-one million, two thousand, one hundred twenty".