101012444141129 has 2 divisors, whose sum is σ = 101012444141130. Its totient is φ = 101012444141128.

The previous prime is 101012444141099. The next prime is 101012444141137. The reversal of 101012444141129 is 921141444210101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 100936643038729 + 75801102400 = 10046723^2 + 275320^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101012444141129 is a prime.

It is not a weakly prime, because it can be changed into another prime (101012444141629) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50506222070564 + 50506222070565.

It is an arithmetic number, because the mean of its divisors is an integer number (50506222070565).

Almost surely, 2^{101012444141129} is an apocalyptic number.

It is an amenable number.

101012444141129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101012444141129 is an equidigital number, since it uses as much as digits as its factorization.

101012444141129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9216, while the sum is 35.

The spelling of 101012444141129 in words is "one hundred one trillion, twelve billion, four hundred forty-four million, one hundred forty-one thousand, one hundred twenty-nine".