102233133312310 has 128 divisors (see below), whose sum is σ = 247082006513664. Its totient is φ = 29412932751360.

The previous prime is 102233133312287. The next prime is 102233133312329. The reversal of 102233133312310 is 13213331332201.

It is a happy number.

It is a super-2 number, since 2×102233133312310² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 439753222 + ... + 439985638.

It is an arithmetic number, because the mean of its divisors is an integer number (1930328175888).

Almost surely, 2^{102233133312310} is an apocalyptic number.

102233133312310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102233133312310 is an abundant number, since it is smaller than the sum of its proper divisors (144848873201354).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102233133312310 is a wasteful number, since it uses less digits than its factorization.

102233133312310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276398.

The product of its (nonzero) digits is 5832, while the sum is 28.

Adding to 102233133312310 its reverse (13213331332201), we get a palindrome (115446464644511).

The spelling of 102233133312310 in words is "one hundred two trillion, two hundred thirty-three billion, one hundred thirty-three million, three hundred twelve thousand, three hundred ten".