102233221002231 has 24 divisors (see below), whose sum is σ = 150032150325120. Its totient is φ = 61875685325520.

The previous prime is 102233221002179. The next prime is 102233221002251. The reversal of 102233221002231 is 132200122332201.

It is not a de Polignac number, because 102233221002231 - 2⁶ = 102233221002167 is a prime.

It is a super-2 number, since 2×102233221002231² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233221002251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190282635 + ... + 190819148.

It is an arithmetic number, because the mean of its divisors is an integer number (6251339596880).

Almost surely, 2^{102233221002231} is an apocalyptic number.

102233221002231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102233221002231 is a deficient number, since it is larger than the sum of its proper divisors (47798929322889).

102233221002231 is a wasteful number, since it uses less digits than its factorization.

102233221002231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381102547 (or 381102536 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 102233221002231 its reverse (132200122332201), we get a palindrome (234433343334432).

The spelling of 102233221002231 in words is "one hundred two trillion, two hundred thirty-three billion, two hundred twenty-one million, two thousand, two hundred thirty-one".