21111113100000 has 1152 divisors, whose sum is σ = 86547010636800. Its totient is φ = 4377139200000.

The previous prime is 21111113099981. The next prime is 21111113100079. The reversal of 21111113100000 is 131111112.

It is a super-2 number, since 2×21111113100000² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16377899356 + ... + 16377900644.

It is an arithmetic number, because the mean of its divisors is an integer number (75127613400).

Almost surely, 2^{21111113100000} is an apocalyptic number.

21111113100000 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 21111113100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43273505318400).

21111113100000 is an abundant number, since it is smaller than the sum of its proper divisors (65435897536800).

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

21111113100000 is a wasteful number, since it uses less digits than its factorization.

21111113100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2026 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 21111113100000 its reverse (131111112), we get a palindrome (21111244211112).

The spelling of 21111113100000 in words is "twenty-one trillion, one hundred eleven billion, one hundred thirteen million, one hundred thousand".