101110002121121 has 4 divisors (see below), whose sum is σ = 115554288138432. Its totient is φ = 86665716103812.

The previous prime is 101110002121103. The next prime is 101110002121159. The reversal of 101110002121121 is 121121200011101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101110002121121 - 2¹⁴ = 101110002104737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101110002121096 and 101110002121105.

It is not an unprimeable number, because it can be changed into a prime (101110002121321) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7222143008645 + ... + 7222143008658.

It is an arithmetic number, because the mean of its divisors is an integer number (28888572034608).

Almost surely, 2^{101110002121121} is an apocalyptic number.

It is an amenable number.

101110002121121 is a deficient number, since it is larger than the sum of its proper divisors (14444286017311).

101110002121121 is an equidigital number, since it uses as much as digits as its factorization.

101110002121121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14444286017310.

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

Adding to 101110002121121 its reverse (121121200011101), we get a palindrome (222231202132222).

The spelling of 101110002121121 in words is "one hundred one trillion, one hundred ten billion, two million, one hundred twenty-one thousand, one hundred twenty-one".