21112201201000 has 512 divisors, whose sum is σ = 62173972224000. Its totient is φ = 6667671628800.

The previous prime is 21112201200971. The next prime is 21112201201061. The reversal of 21112201201000 is 10210221112.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2242872294 + ... + 2242881706.

It is an arithmetic number, because the mean of its divisors is an integer number (121433539500).

Almost surely, 2^{21112201201000} is an apocalyptic number.

21112201201000 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 21112201201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31086986112000).

21112201201000 is an abundant number, since it is smaller than the sum of its proper divisors (41061771023000).

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

21112201201000 is a wasteful number, since it uses less digits than its factorization.

21112201201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9971 (or 9943 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21112201201000 its reverse (10210221112), we get a palindrome (21122411422112).

The spelling of 21112201201000 in words is "twenty-one trillion, one hundred twelve billion, two hundred one million, two hundred one thousand".