100002121120 has 48 divisors (see below), whose sum is σ = 257732743968. Its totient is φ = 36364407040.

The previous prime is 100002121033. The next prime is 100002121123. The reversal of 100002121120 is 21121200001.

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 = 100002121097 and 100002121106.

It is not an unprimeable number, because it can be changed into a prime (100002121123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28407934 + ... + 28411453.

It is an arithmetic number, because the mean of its divisors is an integer number (5369432166).

Almost surely, 2^100002121120 is an apocalyptic number.

100002121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100002121120 is an abundant number, since it is smaller than the sum of its proper divisors (157730622848).

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

100002121120 is a wasteful number, since it uses less digits than its factorization.

100002121120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56819413 (or 56819405 counting only the distinct ones).

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

Adding to 100002121120 its reverse (21121200001), we get a palindrome (121123321121).

It can be divided in two parts, 100002 and 121120, that added together give a palindrome (221122).

The spelling of 100002121120 in words is "one hundred billion, two million, one hundred twenty-one thousand, one hundred twenty".