21121101001000 has 384 divisors, whose sum is σ = 66723308271360. Its totient is φ = 6076796544000.

The previous prime is 21121101000983. The next prime is 21121101001001. The reversal of 21121101001000 is 10010112112.

It is a super-2 number, since 2×21121101001000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (21121101001001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12201462 + ... + 13824538.

It is an arithmetic number, because the mean of its divisors is an integer number (173758615290).

Almost surely, 2^{21121101001000} is an apocalyptic number.

21121101001000 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 21121101001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33361654135680).

21121101001000 is an abundant number, since it is smaller than the sum of its proper divisors (45602207270360).

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

21121101001000 is a wasteful number, since it uses less digits than its factorization.

21121101001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1623142 (or 1623115 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21121101001000 its reverse (10010112112), we get a palindrome (21131111113112).

The spelling of 21121101001000 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred one million, one thousand".