10100001101129 has 2 divisors, whose sum is σ = 10100001101130. Its totient is φ = 10100001101128.

The previous prime is 10100001101089. The next prime is 10100001101153. The reversal of 10100001101129 is 92110110000101.

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., 10092363215104 + 7637886025 = 3176848^2 + 87395^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10100001101129 is a prime.

It is a super-3 number, since 3×10100001101129³ (a number of 40 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (10100001101159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5050000550564 + 5050000550565.

It is an arithmetic number, because the mean of its divisors is an integer number (5050000550565).

Almost surely, 2^{10100001101129} is an apocalyptic number.

It is an amenable number.

10100001101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

10100001101129 is an equidigital number, since it uses as much as digits as its factorization.

10100001101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 17.

The spelling of 10100001101129 in words is "ten trillion, one hundred billion, one million, one hundred one thousand, one hundred twenty-nine".