100102222101221 has 2 divisors, whose sum is σ = 100102222101222. Its totient is φ = 100102222101220.

The previous prime is 100102222101181. The next prime is 100102222101229. The reversal of 100102222101221 is 122101222201001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 59436220641121 + 40666001460100 = 7709489^2 + 6376990^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102222101221 - 2³⁴ = 100085042232037 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100102222101221.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100102222101229) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051111050610 + 50051111050611.

It is an arithmetic number, because the mean of its divisors is an integer number (50051111050611).

Almost surely, 2^{100102222101221} is an apocalyptic number.

It is an amenable number.

100102222101221 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102222101221 is an equidigital number, since it uses as much as digits as its factorization.

100102222101221 is an odious number, because the sum of its binary digits is odd.

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

Adding to 100102222101221 its reverse (122101222201001), we get a palindrome (222203444302222).

The spelling of 100102222101221 in words is "one hundred trillion, one hundred two billion, two hundred twenty-two million, one hundred one thousand, two hundred twenty-one".