21112101002000 has 160 divisors (see below), whose sum is σ = 51907932367200. Its totient is φ = 8303809536000.

The previous prime is 21112101001973. The next prime is 21112101002009. The reversal of 21112101002000 is 20010121112.

It can be written as a sum of positive squares in 16 ways, for example, as 20940801036544 + 171299965456 = 4576112^2 + 413884^2 .

It is not an unprimeable number, because it can be changed into a prime (21112101002009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31890356 + ... + 32545644.

It is an arithmetic number, because the mean of its divisors is an integer number (324424577295).

Almost surely, 2^{21112101002000} is an apocalyptic number.

21112101002000 is a gapful number since it is divisible by the number (20) 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 21112101002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25953966183600).

21112101002000 is an abundant number, since it is smaller than the sum of its proper divisors (30795831365200).

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

21112101002000 is a wasteful number, since it uses less digits than its factorization.

21112101002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655582 (or 655566 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 21112101002000 its reverse (20010121112), we get a palindrome (21132111123112).

The spelling of 21112101002000 in words is "twenty-one trillion, one hundred twelve billion, one hundred one million, two thousand".