100122551120 has 40 divisors (see below), whose sum is σ = 232799430240. Its totient is φ = 40046526080.

The previous prime is 100122551101. The next prime is 100122551129. The reversal of 100122551120 is 21155221001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100122551092 and 100122551101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100122551129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1781855 + ... + 1837185.

It is an arithmetic number, because the mean of its divisors is an integer number (5819985756).

Almost surely, 2^100122551120 is an apocalyptic number.

100122551120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100122551120 is an abundant number, since it is smaller than the sum of its proper divisors (132676879120).

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

100122551120 is a wasteful number, since it uses less digits than its factorization.

100122551120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77963 (or 77957 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

Adding to 100122551120 its reverse (21155221001), we get a palindrome (121277772121).

The spelling of 100122551120 in words is "one hundred billion, one hundred twenty-two million, five hundred fifty-one thousand, one hundred twenty".