10233020010000 has 400 divisors, whose sum is σ = 33828579189504. Its totient is φ = 2663448576000.

The previous prime is 10233020009981. The next prime is 10233020010107. The reversal of 10233020010000 is 1002033201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 525920272 + ... + 525939728.

Almost surely, 2^{10233020010000} is an apocalyptic number.

10233020010000 is a gapful number since it is divisible by the number (10) 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 10233020010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16914289594752).

10233020010000 is an abundant number, since it is smaller than the sum of its proper divisors (23595559179504).

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

10233020010000 is a wasteful number, since it uses less digits than its factorization.

10233020010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19908 (or 19887 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10233020010000 its reverse (1002033201), we get a palindrome (10234022043201).

The spelling of 10233020010000 in words is "ten trillion, two hundred thirty-three billion, twenty million, ten thousand".