102132203212031 has 8 divisors (see below), whose sum is σ = 103734732976560. Its totient is φ = 100539784045888.

The previous prime is 102132203212009. The next prime is 102132203212033. The reversal of 102132203212031 is 130212302231201.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 102132203212031 - 2¹⁴ = 102132203195647 is a prime.

It is a super-2 number, since 2×102132203212031² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102132203211988 and 102132203212006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102132203212033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2527629236 + ... + 2527669641.

It is an arithmetic number, because the mean of its divisors is an integer number (12966841622070).

Almost surely, 2^{102132203212031} is an apocalyptic number.

102132203212031 is a deficient number, since it is larger than the sum of its proper divisors (1602529764529).

102132203212031 is an equidigital number, since it uses as much as digits as its factorization.

102132203212031 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5055299193.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102132203212031 its reverse (130212302231201), we get a palindrome (232344505443232).

The spelling of 102132203212031 in words is "one hundred two trillion, one hundred thirty-two billion, two hundred three million, two hundred twelve thousand, thirty-one".