100121102121110 has 96 divisors (see below), whose sum is σ = 218830220395200. Its totient is φ = 32823631534848.

The previous prime is 100121102121013. The next prime is 100121102121163. The reversal of 100121102121110 is 11121201121001.

It is a super-2 number, since 2×100121102121110² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31823216 + ... + 34827564.

It is an arithmetic number, because the mean of its divisors is an integer number (2279481462450).

Almost surely, 2^{100121102121110} is an apocalyptic number.

100121102121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100121102121110 is an abundant number, since it is smaller than the sum of its proper divisors (118709118274090).

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

100121102121110 is a wasteful number, since it uses less digits than its factorization.

100121102121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3007350 (or 3007343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100121102121110 its reverse (11121201121001), we get a palindrome (111242303242111).

The spelling of 100121102121110 in words is "one hundred trillion, one hundred twenty-one billion, one hundred two million, one hundred twenty-one thousand, one hundred ten".