100120120001121 has 128 divisors (see below), whose sum is σ = 157245307084800. Its totient is φ = 56010240599040.

The previous prime is 100120120001093. The next prime is 100120120001147. The reversal of 100120120001121 is 121100021021001.

It is not a de Polignac number, because 100120120001121 - 2⁵ = 100120120001089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120120001097 and 100120120001106.

It is not an unprimeable number, because it can be changed into a prime (100120120001171) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31258231306 + ... + 31258234508.

It is an arithmetic number, because the mean of its divisors is an integer number (1228478961600).

Almost surely, 2^{100120120001121} is an apocalyptic number.

100120120001121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120120001121 is a deficient number, since it is larger than the sum of its proper divisors (57125187083679).

100120120001121 is a wasteful number, since it uses less digits than its factorization.

100120120001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5771.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100120120001121 its reverse (121100021021001), we get a palindrome (221220141022122).

The spelling of 100120120001121 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty million, one thousand, one hundred twenty-one".