101012133121 has 4 divisors (see below), whose sum is σ = 106328561200. Its totient is φ = 95695705044.

The previous prime is 101012133119. The next prime is 101012133137. The reversal of 101012133121 is 121331210101.

It is a happy number.

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 101012133121 - 2¹ = 101012133119 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101012133095 and 101012133104.

It is not an unprimeable number, because it can be changed into a prime (101012133151) 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, 2658214011 + ... + 2658214048.

It is an arithmetic number, because the mean of its divisors is an integer number (26582140300).

Almost surely, 2^101012133121 is an apocalyptic number.

It is an amenable number.

101012133121 is a deficient number, since it is larger than the sum of its proper divisors (5316428079).

101012133121 is an equidigital number, since it uses as much as digits as its factorization.

101012133121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316428078.

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 101012133121 its reverse (121331210101), we get a palindrome (222343343222).

The spelling of 101012133121 in words is "one hundred one billion, twelve million, one hundred thirty-three thousand, one hundred twenty-one".