10021120011000 has 1536 divisors, whose sum is σ = 42560743680000. Its totient is φ = 2154387456000.

The previous prime is 10021120010927. The next prime is 10021120011011. The reversal of 10021120011000 is 11002112001.

It is a happy number.

10021120011000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 4815529960 + ... + 4815532040.

It is an arithmetic number, because the mean of its divisors is an integer number (27708817500).

Almost surely, 2^{10021120011000} is an apocalyptic number.

10021120011000 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 10021120011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21280371840000).

10021120011000 is an abundant number, since it is smaller than the sum of its proper divisors (32539623669000).

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

10021120011000 is a wasteful number, since it uses less digits than its factorization.

10021120011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2292 (or 2266 counting only the distinct ones).

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

Adding to 10021120011000 its reverse (11002112001), we get a palindrome (10032122123001).

The spelling of 10021120011000 in words is "ten trillion, twenty-one billion, one hundred twenty million, eleven thousand".