101121111221 has 16 divisors (see below), whose sum is σ = 110278065408. Its totient is φ = 92166120000.

The previous prime is 101121111197. The next prime is 101121111233. The reversal of 101121111221 is 122111121101.

It is a cyclic number.

It is not a de Polignac number, because 101121111221 - 2¹⁰ = 101121110197 is a prime.

It is a super-2 number, since 2×101121111221² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101121111196 and 101121111205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101121110221) 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, 376946 + ... + 586796.

It is an arithmetic number, because the mean of its divisors is an integer number (6892379088).

Almost surely, 2^101121111221 is an apocalyptic number.

It is an amenable number.

101121111221 is a deficient number, since it is larger than the sum of its proper divisors (9156954187).

101121111221 is a wasteful number, since it uses less digits than its factorization.

101121111221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210332.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 101121111221 its reverse (122111121101), we get a palindrome (223232232322).

The spelling of 101121111221 in words is "one hundred one billion, one hundred twenty-one million, one hundred eleven thousand, two hundred twenty-one".