100102221121081 has 2 divisors, whose sum is σ = 100102221121082. Its totient is φ = 100102221121080.

The previous prime is 100102221121033. The next prime is 100102221121127. The reversal of 100102221121081 is 180121122201001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99311010871081 + 791210250000 = 9965491^2 + 889500^2 .

It is a cyclic number.

It is not a de Polignac number, because 100102221121081 - 2⁷ = 100102221120953 is a prime.

It is a super-2 number, since 2×100102221121081² (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (100102221121781) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50051110560540 + 50051110560541.

It is an arithmetic number, because the mean of its divisors is an integer number (50051110560541).

Almost surely, 2^{100102221121081} is an apocalyptic number.

It is an amenable number.

100102221121081 is a deficient number, since it is larger than the sum of its proper divisors (1).

100102221121081 is an equidigital number, since it uses as much as digits as its factorization.

100102221121081 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 128, while the sum is 22.

Adding to 100102221121081 its reverse (180121122201001), we get a palindrome (280223343322082).

The spelling of 100102221121081 in words is "one hundred trillion, one hundred two billion, two hundred twenty-one million, one hundred twenty-one thousand, eighty-one".