101001112121 has 16 divisors (see below), whose sum is σ = 128319034368. Its totient is φ = 77335128000.

The previous prime is 101001112103. The next prime is 101001112129. The reversal of 101001112121 is 121211100101.

It is not a de Polignac number, because 101001112121 - 2¹⁰ = 101001111097 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101001112129) 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, 17898830 + ... + 17904471.

It is an arithmetic number, because the mean of its divisors is an integer number (8019939648).

Almost surely, 2^101001112121 is an apocalyptic number.

It is an amenable number.

101001112121 is a deficient number, since it is larger than the sum of its proper divisors (27317922247).

101001112121 is a wasteful number, since it uses less digits than its factorization.

101001112121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35803352.

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

Adding to 101001112121 its reverse (121211100101), we get a palindrome (222212212222).

The spelling of 101001112121 in words is "one hundred one billion, one million, one hundred twelve thousand, one hundred twenty-one".