10011201021000 has 128 divisors (see below), whose sum is σ = 34705496966400. Its totient is φ = 2669653598400.

The previous prime is 10011201020999. The next prime is 10011201021023. The reversal of 10011201021000 is 12010211001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185365612 + ... + 185419611.

It is an arithmetic number, because the mean of its divisors is an integer number (271136695050).

Almost surely, 2^{10011201021000} is an apocalyptic number.

10011201021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011201021000 is an abundant number, since it is smaller than the sum of its proper divisors (24694295945400).

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

10011201021000 is a wasteful number, since it uses less digits than its factorization.

10011201021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 370785253 (or 370785233 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10011201021000 its reverse (12010211001), we get a palindrome (10023211232001).

The spelling of 10011201021000 in words is "ten trillion, eleven billion, two hundred one million, twenty-one thousand".