100010121123 has 16 divisors (see below), whose sum is σ = 146803852800. Its totient is φ = 60056117280.

The previous prime is 100010121089. The next prime is 100010121161. The reversal of 100010121123 is 321121010001.

It is not a de Polignac number, because 100010121123 - 2⁸ = 100010120867 is a prime.

It is a super-2 number, since 2×100010121123² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010121099 and 100010121108.

It is not an unprimeable number, because it can be changed into a prime (100010125123) 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, 13898283 + ... + 13905476.

It is an arithmetic number, because the mean of its divisors is an integer number (9175240800).

Almost surely, 2^100010121123 is an apocalyptic number.

100010121123 is a deficient number, since it is larger than the sum of its proper divisors (46793731677).

100010121123 is a wasteful number, since it uses less digits than its factorization.

100010121123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27803882.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 100010121123 its reverse (321121010001), we get a palindrome (421131131124).

The spelling of 100010121123 in words is "one hundred billion, ten million, one hundred twenty-one thousand, one hundred twenty-three".