21101201121000 has 3072 divisors, whose sum is σ = 95166992793600. Its totient is φ = 3756284928000.

The previous prime is 21101201120953. The next prime is 21101201121029. The reversal of 21101201121000 is 12110210112.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 58777718821 + ... + 58777719179.

It is an arithmetic number, because the mean of its divisors is an integer number (30978838800).

Almost surely, 2^{21101201121000} is an apocalyptic number.

21101201121000 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 21101201121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47583496396800).

21101201121000 is an abundant number, since it is smaller than the sum of its proper divisors (74065791672600).

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

21101201121000 is a wasteful number, since it uses less digits than its factorization.

21101201121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 21101201121000 its reverse (12110210112), we get a palindrome (21113311331112).

The spelling of 21101201121000 in words is "twenty-one trillion, one hundred one billion, two hundred one million, one hundred twenty-one thousand".