21111210112000 has 176 divisors, whose sum is σ = 53259653500560. Its totient is φ = 8349597696000.

The previous prime is 21111210111991. The next prime is 21111210112049. The reversal of 21111210112000 is 21101211112.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 10329076076544 + 10782134035456 = 3213888^2 + 3283616^2 .

It is a super-2 number, since 2×21111210112000² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10465420 + ... + 12318580.

Almost surely, 2^{21111210112000} is an apocalyptic number.

21111210112000 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 21111210112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26629826750280).

21111210112000 is an abundant number, since it is smaller than the sum of its proper divisors (32148443388560).

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

21111210112000 is an equidigital number, since it uses as much as digits as its factorization.

21111210112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1853285 (or 1853257 counting only the distinct ones).

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

Adding to 21111210112000 its reverse (21101211112), we get a palindrome (21132311323112).

The spelling of 21111210112000 in words is "twenty-one trillion, one hundred eleven billion, two hundred ten million, one hundred twelve thousand".