101120001011129 has 2 divisors, whose sum is σ = 101120001011130. Its totient is φ = 101120001011128.

The previous prime is 101120001011059. The next prime is 101120001011173. The reversal of 101120001011129 is 921110100021101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 60915714741904 + 40204286269225 = 7804852^2 + 6340685^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120001011129 - 2¹² = 101120001007033 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101120001011129.

It is not a weakly prime, because it can be changed into another prime (101120001011179) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560000505564 + 50560000505565.

It is an arithmetic number, because the mean of its divisors is an integer number (50560000505565).

Almost surely, 2^{101120001011129} is an apocalyptic number.

It is an amenable number.

101120001011129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120001011129 is an equidigital number, since it uses as much as digits as its factorization.

101120001011129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 20.

The spelling of 101120001011129 in words is "one hundred one trillion, one hundred twenty billion, one million, eleven thousand, one hundred twenty-nine".