102233011000 has 64 divisors (see below), whose sum is σ = 243147116160. Its totient is φ = 40222800000.

The previous prime is 102233010977. The next prime is 102233011003. The reversal of 102233011000 is 110332201.

It is a super-2 number, since 2×102233011000² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102233011003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 776976 + ... + 898975.

It is an arithmetic number, because the mean of its divisors is an integer number (3799173690).

Almost surely, 2^102233011000 is an apocalyptic number.

102233011000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233011000 is an abundant number, since it is smaller than the sum of its proper divisors (140914105160).

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

102233011000 is a wasteful number, since it uses less digits than its factorization.

102233011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676033 (or 1676019 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 102233011000 its reverse (110332201), we get a palindrome (102343343201).

The spelling of 102233011000 in words is "one hundred two billion, two hundred thirty-three million, eleven thousand".