1022100122129 has 2 divisors, whose sum is σ = 1022100122130. Its totient is φ = 1022100122128.

The previous prime is 1022100122119. The next prime is 1022100122137. The reversal of 1022100122129 is 9212210012201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 824195253904 + 197904868225 = 907852^2 + 444865^2 .

It is a cyclic number.

It is not a de Polignac number, because 1022100122129 - 2⁸ = 1022100121873 is a prime.

It is a super-2 number, since 2×1022100122129² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1022100122119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 511050061064 + 511050061065.

It is an arithmetic number, because the mean of its divisors is an integer number (511050061065).

Almost surely, 2^{1022100122129} is an apocalyptic number.

It is an amenable number.

1022100122129 is a deficient number, since it is larger than the sum of its proper divisors (1).

1022100122129 is an equidigital number, since it uses as much as digits as its factorization.

1022100122129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 1022100122129 in words is "one trillion, twenty-two billion, one hundred million, one hundred twenty-two thousand, one hundred twenty-nine".