102141363141201 has 16 divisors (see below), whose sum is σ = 136482564556800. Its totient is φ = 67947350817360.

The previous prime is 102141363141197. The next prime is 102141363141211.

It is a happy number.

102141363141201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 102141363141201 - 2² = 102141363141197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102141363141211) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15868551 + ... + 21356348.

It is an arithmetic number, because the mean of its divisors is an integer number (8530160284800).

Almost surely, 2^{102141363141201} is an apocalyptic number.

It is an amenable number.

102141363141201 is a deficient number, since it is larger than the sum of its proper divisors (34341201415599).

102141363141201 is a wasteful number, since it uses less digits than its factorization.

102141363141201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37226876.

The product of its (nonzero) digits is 3456, while the sum is 30.

The spelling of 102141363141201 in words is "one hundred two trillion, one hundred forty-one billion, three hundred sixty-three million, one hundred forty-one thousand, two hundred one".