101011331121 has 16 divisors (see below), whose sum is σ = 141610013760. Its totient is φ = 63952902720.

The previous prime is 101011331101. The next prime is 101011331137. The reversal of 101011331121 is 121133110101.

It is not a de Polignac number, because 101011331121 - 2¹⁴ = 101011314737 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101011331121.

It is not an unprimeable number, because it can be changed into a prime (101011331101) 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, 9511495 + ... + 9522108.

It is an arithmetic number, because the mean of its divisors is an integer number (8850625860).

Almost surely, 2^101011331121 is an apocalyptic number.

It is an amenable number.

101011331121 is a deficient number, since it is larger than the sum of its proper divisors (40598682639).

101011331121 is a wasteful number, since it uses less digits than its factorization.

101011331121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19033696.

The product of its (nonzero) digits is 18, while the sum is 15.

Adding to 101011331121 its reverse (121133110101), we get a palindrome (222144441222).

The spelling of 101011331121 in words is "one hundred one billion, eleven million, three hundred thirty-one thousand, one hundred twenty-one".