10211200022000 has 80 divisors (see below), whose sum is σ = 24696110068032. Its totient is φ = 4083582009600.

The previous prime is 10211200021871. The next prime is 10211200022003. The reversal of 10211200022000 is 22000211201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211200022003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8575034 + ... + 9692966.

Almost surely, 2^{10211200022000} is an apocalyptic number.

10211200022000 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 10211200022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12348055034016).

10211200022000 is an abundant number, since it is smaller than the sum of its proper divisors (14484910046032).

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

10211200022000 is a wasteful number, since it uses less digits than its factorization.

10211200022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1122523 (or 1122507 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10211200022000 its reverse (22000211201), we get a palindrome (10233200233201).

The spelling of 10211200022000 in words is "ten trillion, two hundred eleven billion, two hundred million, twenty-two thousand".