101022111221 has 2 divisors, whose sum is σ = 101022111222. Its totient is φ = 101022111220.

The previous prime is 101022111217. The next prime is 101022111251. The reversal of 101022111221 is 122111220101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93455547025 + 7566564196 = 305705^2 + 86986^2 .

It is a cyclic number.

It is not a de Polignac number, because 101022111221 - 2² = 101022111217 is a prime.

It is a super-2 number, since 2×101022111221² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101022111196 and 101022111205.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101022111251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50511055610 + 50511055611.

It is an arithmetic number, because the mean of its divisors is an integer number (50511055611).

Almost surely, 2^101022111221 is an apocalyptic number.

It is an amenable number.

101022111221 is a deficient number, since it is larger than the sum of its proper divisors (1).

101022111221 is an equidigital number, since it uses as much as digits as its factorization.

101022111221 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101022111221 its reverse (122111220101), we get a palindrome (223133331322).

The spelling of 101022111221 in words is "one hundred one billion, twenty-two million, one hundred eleven thousand, two hundred twenty-one".