100121110120 has 64 divisors (see below), whose sum is σ = 227833903440. Its totient is φ = 39594240000.

The previous prime is 100121110079. The next prime is 100121110129. The reversal of 100121110120 is 21011121001.

It can be written as a sum of positive squares in 8 ways, for example, as 100095038884 + 26071236 = 316378^2 + 5106^2 .

It is a super-2 number, since 2×100121110120² (a number of 23 digits) contains 22 as substring.

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 = 100121110097 and 100121110106.

It is not an unprimeable number, because it can be changed into a prime (100121110129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2814364 + ... + 2849716.

Almost surely, 2^100121110120 is an apocalyptic number.

100121110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121110120 is an abundant number, since it is smaller than the sum of its proper divisors (127712793320).

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

100121110120 is a wasteful number, since it uses less digits than its factorization.

100121110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36166 (or 36162 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100121110120 its reverse (21011121001), we get a palindrome (121132231121).

The spelling of 100121110120 in words is "one hundred billion, one hundred twenty-one million, one hundred ten thousand, one hundred twenty".