100101112121 has 16 divisors (see below), whose sum is σ = 107825489280. Its totient is φ = 92581920000.

The previous prime is 100101112109. The next prime is 100101112129. The reversal of 100101112121 is 121211101001.

It is a cyclic number.

It is not a de Polignac number, because 100101112121 - 2¹⁸ = 100100849977 is a prime.

It is a super-2 number, since 2×100101112121² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100101112129) 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, 2948996 + ... + 2982746.

It is an arithmetic number, because the mean of its divisors is an integer number (6739093080).

Almost surely, 2^100101112121 is an apocalyptic number.

It is an amenable number.

100101112121 is a deficient number, since it is larger than the sum of its proper divisors (7724377159).

100101112121 is a wasteful number, since it uses less digits than its factorization.

100101112121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36784.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100101112121 its reverse (121211101001), we get a palindrome (221312213122).

The spelling of 100101112121 in words is "one hundred billion, one hundred one million, one hundred twelve thousand, one hundred twenty-one".