100102220221121 has 2 divisors, whose sum is σ = 100102220221122. Its totient is φ = 100102220221120.

The previous prime is 100102220221051. The next prime is 100102220221139. The reversal of 100102220221121 is 121122022201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94217326446721 + 5884893774400 = 9706561^2 + 2425880^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102220221121 - 2¹⁰ = 100102220220097 is a prime.

It is a super-2 number, since 2×100102220221121² (a number of 29 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 100102220221121.

It is not a weakly prime, because it can be changed into another prime (100102220221141) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110110560 + 50051110110561.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110110561).

Almost surely, 2^{100102220221121} is an apocalyptic number.

It is an amenable number.

100102220221121 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102220221121 is an equidigital number, since it uses as much as digits as its factorization.

100102220221121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 100102220221121 its reverse (121122022201001), we get a palindrome (221224242422122).

The spelling of 100102220221121 in words is "one hundred trillion, one hundred two billion, two hundred twenty million, two hundred twenty-one thousand, one hundred twenty-one".