102042121212431 has 16 divisors (see below), whose sum is σ = 108062717621760. Its totient is φ = 96087472619040.

The previous prime is 102042121212373. The next prime is 102042121212497. The reversal of 102042121212431 is 134212121240201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102042121212431 is a prime.

It is a super-2 number, since 2×102042121212431² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 102042121212431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102042121212131) 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, 9362171 + ... + 17080236.

It is an arithmetic number, because the mean of its divisors is an integer number (6753919851360).

Almost surely, 2^{102042121212431} is an apocalyptic number.

102042121212431 is a deficient number, since it is larger than the sum of its proper divisors (6020596409329).

102042121212431 is a wasteful number, since it uses less digits than its factorization.

102042121212431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26443654.

The product of its (nonzero) digits is 1536, while the sum is 26.

Adding to 102042121212431 its reverse (134212121240201), we get a palindrome (236254242452632).

The spelling of 102042121212431 in words is "one hundred two trillion, forty-two billion, one hundred twenty-one million, two hundred twelve thousand, four hundred thirty-one".