100121332122 has 64 divisors (see below), whose sum is σ = 254782402560. Its totient is φ = 28549169712.

The previous prime is 100121332109. The next prime is 100121332163. The reversal of 100121332122 is 221233121001.

It is a super-2 number, since 2×100121332122² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 100121332095 and 100121332104.

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, 73158 + ... + 453425.

It is an arithmetic number, because the mean of its divisors is an integer number (3980975040).

Almost surely, 2^100121332122 is an apocalyptic number.

100121332122 is an abundant number, since it is smaller than the sum of its proper divisors (154661070438).

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

100121332122 is a wasteful number, since it uses less digits than its factorization.

100121332122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 527104 (or 527098 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100121332122 its reverse (221233121001), we get a palindrome (321354453123).

The spelling of 100121332122 in words is "one hundred billion, one hundred twenty-one million, three hundred thirty-two thousand, one hundred twenty-two".