100107050121 has 24 divisors (see below), whose sum is σ = 160592513760. Its totient is φ = 61604335728.

The previous prime is 100107050101. The next prime is 100107050149. The reversal of 100107050121 is 121050701001.

It is a happy number.

It is not a de Polignac number, because 100107050121 - 2⁷ = 100107049993 is a prime.

It is a super-2 number, since 2×100107050121² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100107050094 and 100107050103.

It is not an unprimeable number, because it can be changed into a prime (100107050101) 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 23 ways as a sum of consecutive naturals, for example, 10964871 + ... + 10973996.

It is an arithmetic number, because the mean of its divisors is an integer number (6691354740).

Almost surely, 2^100107050121 is an apocalyptic number.

It is an amenable number.

100107050121 is a deficient number, since it is larger than the sum of its proper divisors (60485463639).

100107050121 is a wasteful number, since it uses less digits than its factorization.

100107050121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21938902 (or 21938883 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

Adding to 100107050121 its reverse (121050701001), we get a palindrome (221157751122).

The spelling of 100107050121 in words is "one hundred billion, one hundred seven million, fifty thousand, one hundred twenty-one".