101201001001129 has 2 divisors, whose sum is σ = 101201001001130. Its totient is φ = 101201001001128.

The previous prime is 101201001000989. The next prime is 101201001001151. The reversal of 101201001001129 is 921100100102101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 75814286979600 + 25386714021529 = 8707140^2 + 5038523^2 .

It is a cyclic number.

It is not a de Polignac number, because 101201001001129 - 2¹¹ = 101201000999081 is a prime.

It is a super-3 number, since 3×101201001001129³ (a number of 43 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (101201001001189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50600500500564 + 50600500500565.

It is an arithmetic number, because the mean of its divisors is an integer number (50600500500565).

Almost surely, 2^{101201001001129} is an apocalyptic number.

It is an amenable number.

101201001001129 is a deficient number, since it is larger than the sum of its proper divisors (1).

101201001001129 is an equidigital number, since it uses as much as digits as its factorization.

101201001001129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 36, while the sum is 19.

The spelling of 101201001001129 in words is "one hundred one trillion, two hundred one billion, one million, one thousand, one hundred twenty-nine".