21121011211000 has 128 divisors (see below), whose sum is σ = 52226827099200. Its totient is φ = 7972606771200.

The previous prime is 21121011210983. The next prime is 21121011211007. The reversal of 21121011211000 is 11211012112.

It is a happy number.

It is a super-2 number, since 2×21121011211000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21121011211007) 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, 2720292 + ... + 7045708.

Almost surely, 2^{21121011211000} is an apocalyptic number.

21121011211000 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 21121011211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26113413549600).

21121011211000 is an abundant number, since it is smaller than the sum of its proper divisors (31105815888200).

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

21121011211000 is a wasteful number, since it uses less digits than its factorization.

21121011211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4325714 (or 4325700 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 21121011211000 its reverse (11211012112), we get a palindrome (21132222223112).

The spelling of 21121011211000 in words is "twenty-one trillion, one hundred twenty-one billion, eleven million, two hundred eleven thousand".