101221310121 has 32 divisors (see below), whose sum is σ = 149176608768. Its totient is φ = 60724435200.

The previous prime is 101221310107. The next prime is 101221310231. The reversal of 101221310121 is 121013122101.

It is not a de Polignac number, because 101221310121 - 2⁷ = 101221309993 is a prime.

It is a super-2 number, since 2×101221310121² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101221310121.

It is not an unprimeable number, because it can be changed into a prime (101221310101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2975410 + ... + 3009236.

It is an arithmetic number, because the mean of its divisors is an integer number (4661769024).

Almost surely, 2^101221310121 is an apocalyptic number.

It is an amenable number.

101221310121 is a deficient number, since it is larger than the sum of its proper divisors (47955298647).

101221310121 is a wasteful number, since it uses less digits than its factorization.

101221310121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36421.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101221310121 its reverse (121013122101), we get a palindrome (222234432222).

The spelling of 101221310121 in words is "one hundred one billion, two hundred twenty-one million, three hundred ten thousand, one hundred twenty-one".