101223100129 has 2 divisors, whose sum is σ = 101223100130. Its totient is φ = 101223100128.

The previous prime is 101223100093. The next prime is 101223100133. The reversal of 101223100129 is 921001322101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100248224400 + 974875729 = 316620^2 + 31223^2 .

It is a cyclic number.

It is not a de Polignac number, because 101223100129 - 2³¹ = 99075616481 is a prime.

It is a super-2 number, since 2×101223100129² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101223100189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50611550064 + 50611550065.

It is an arithmetic number, because the mean of its divisors is an integer number (50611550065).

Almost surely, 2^101223100129 is an apocalyptic number.

It is an amenable number.

101223100129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101223100129 is an equidigital number, since it uses as much as digits as its factorization.

101223100129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 216, while the sum is 22.

The spelling of 101223100129 in words is "one hundred one billion, two hundred twenty-three million, one hundred thousand, one hundred twenty-nine".