102233001013000 has 256 divisors, whose sum is σ = 290739129408000. Its totient is φ = 33132661632000.

The previous prime is 102233001012949. The next prime is 102233001013001. The reversal of 102233001013000 is 310100332201.

It is a super-2 number, since 2×102233001013000² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102233001013001) 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, 8179140 + ... + 16473139.

It is an arithmetic number, because the mean of its divisors is an integer number (1135699724250).

Almost surely, 2^{102233001013000} is an apocalyptic number.

102233001013000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233001013000 is an abundant number, since it is smaller than the sum of its proper divisors (188506128395000).

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

102233001013000 is a wasteful number, since it uses less digits than its factorization.

102233001013000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24652353 (or 24652339 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 102233001013000 its reverse (310100332201), we get a palindrome (102543101345201).

The spelling of 102233001013000 in words is "one hundred two trillion, two hundred thirty-three billion, one million, thirteen thousand".