101001111211221 has 24 divisors (see below), whose sum is σ = 145901946825216. Its totient is φ = 62121344912640.

The previous prime is 101001111211183. The next prime is 101001111211283. The reversal of 101001111211221 is 122112111100101.

It is not a de Polignac number, because 101001111211221 - 2⁶ = 101001111211157 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101001111211221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101001111211621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52230645 + ... + 54129866.

It is an arithmetic number, because the mean of its divisors is an integer number (6079247784384).

Almost surely, 2^{101001111211221} is an apocalyptic number.

It is an amenable number.

101001111211221 is a deficient number, since it is larger than the sum of its proper divisors (44900835613995).

101001111211221 is a wasteful number, since it uses less digits than its factorization.

101001111211221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106362413 (or 106362400 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 101001111211221 its reverse (122112111100101), we get a palindrome (223113222311322).

The spelling of 101001111211221 in words is "one hundred one trillion, one billion, one hundred eleven million, two hundred eleven thousand, two hundred twenty-one".