100000101121 has 8 divisors (see below), whose sum is σ = 105854158080. Its totient is φ = 94306429392.

The previous prime is 100000101067. The next prime is 100000101151. The reversal of 100000101121 is 121101000001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100000101121 - 2¹⁵ = 100000068353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100000101151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40095025 + ... + 40097518.

It is an arithmetic number, because the mean of its divisors is an integer number (13231769760).

Almost surely, 2^100000101121 is an apocalyptic number.

It is an amenable number.

100000101121 is a deficient number, since it is larger than the sum of its proper divisors (5854056959).

100000101121 is an equidigital number, since it uses as much as digits as its factorization.

100000101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80192615.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100000101121 its reverse (121101000001), we get a palindrome (221101101122).

The spelling of 100000101121 in words is "one hundred billion, one hundred one thousand, one hundred twenty-one".