102001233312 has 192 divisors, whose sum is σ = 325903374720. Its totient is φ = 30780518400.

The previous prime is 102001233287. The next prime is 102001233331. The reversal of 102001233312 is 213332100201.

102001233312 is a `hidden beast` number, since 10 + 200 + 123 + 331 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2268198 + ... + 2312730.

It is an arithmetic number, because the mean of its divisors is an integer number (1697413410).

Almost surely, 2^102001233312 is an apocalyptic number.

102001233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102001233312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162951687360).

102001233312 is an abundant number, since it is smaller than the sum of its proper divisors (223902141408).

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

102001233312 is a wasteful number, since it uses less digits than its factorization.

102001233312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44804 (or 44790 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 102001233312 its reverse (213332100201), we get a palindrome (315333333513).

The spelling of 102001233312 in words is "one hundred two billion, one million, two hundred thirty-three thousand, three hundred twelve".