10011000022000 has 360 divisors, whose sum is σ = 26159120910000. Its totient is φ = 3704923756800.

The previous prime is 10011000021977. The next prime is 10011000022007. The reversal of 10011000022000 is 22000011001.

10011000022000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011000022007) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1334974251 + ... + 1334981749.

It is an arithmetic number, because the mean of its divisors is an integer number (72664224750).

Almost surely, 2^{10011000022000} is an apocalyptic number.

10011000022000 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 10011000022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13079560455000).

10011000022000 is an abundant number, since it is smaller than the sum of its proper divisors (16148120888000).

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

10011000022000 is an equidigital number, since it uses as much as digits as its factorization.

10011000022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7646 (or 7568 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10011000022000 its reverse (22000011001), we get a palindrome (10033000033001).

The spelling of 10011000022000 in words is "ten trillion, eleven billion, twenty-two thousand".