102242134112001 has 32 divisors (see below), whose sum is σ = 147017253132288. Its totient is φ = 62829136097280.

The previous prime is 102242134111933. The next prime is 102242134112077. The reversal of 102242134112001 is 100211431242201.

It is not a de Polignac number, because 102242134112001 - 2²³ = 102242125723393 is a prime.

It is a super-3 number, since 3×102242134112001³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (102242134110001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84908821 + ... + 86104541.

It is an arithmetic number, because the mean of its divisors is an integer number (4594289160384).

Almost surely, 2^{102242134112001} is an apocalyptic number.

It is an amenable number.

102242134112001 is a deficient number, since it is larger than the sum of its proper divisors (44775119020287).

102242134112001 is a wasteful number, since it uses less digits than its factorization.

102242134112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1198841.

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 102242134112001 its reverse (100211431242201), we get a palindrome (202453565354202).

The spelling of 102242134112001 in words is "one hundred two trillion, two hundred forty-two billion, one hundred thirty-four million, one hundred twelve thousand, one".