102241402241231 has 64 divisors (see below), whose sum is σ = 121093861109760. Its totient is φ = 85318881120000.

The previous prime is 102241402241203. The next prime is 102241402241239. The reversal of 102241402241231 is 132142204142201.

It is a de Polignac number, because none of the positive numbers 2^k-102241402241231 is a prime.

It is a super-2 number, since 2×102241402241231² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102241402241194 and 102241402241203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102241402241239) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10303472036 + ... + 10303481958.

It is an arithmetic number, because the mean of its divisors is an integer number (1892091579840).

Almost surely, 2^{102241402241231} is an apocalyptic number.

102241402241231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102241402241231 is a deficient number, since it is larger than the sum of its proper divisors (18852458868529).

102241402241231 is a wasteful number, since it uses less digits than its factorization.

102241402241231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18108.

The product of its (nonzero) digits is 6144, while the sum is 29.

Adding to 102241402241231 its reverse (132142204142201), we get a palindrome (234383606383432).

The spelling of 102241402241231 in words is "one hundred two trillion, two hundred forty-one billion, four hundred two million, two hundred forty-one thousand, two hundred thirty-one".