10001011023000 has 192 divisors, whose sum is σ = 34266480019200. Its totient is φ = 2630402726400.

The previous prime is 10001011022953. The next prime is 10001011023011. The reversal of 10001011023000 is 32011010001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6954120 + ... + 8268119.

It is an arithmetic number, because the mean of its divisors is an integer number (178471250100).

Almost surely, 2^{10001011023000} is an apocalyptic number.

10001011023000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10001011023000 is an abundant number, since it is smaller than the sum of its proper divisors (24265468996200).

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

10001011023000 is a wasteful number, since it uses less digits than its factorization.

10001011023000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15222339 (or 15222322 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10001011023000 its reverse (32011010001), we get a palindrome (10033022033001).

The spelling of 10001011023000 in words is "ten trillion, one billion, eleven million, twenty-three thousand".