21100262400000 has 2688 divisors, whose sum is σ = 92148477120000. Its totient is φ = 4768727040000.

The previous prime is 21100262399999. The next prime is 21100262400029. The reversal of 21100262400000 is 426200112.

21100262400000 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 262 + 400 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 237081599956 + ... + 237081600044.

It is an arithmetic number, because the mean of its divisors is an integer number (34281427500).

Almost surely, 2^{21100262400000} is an apocalyptic number.

21100262400000 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 21100262400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46074238560000).

21100262400000 is an abundant number, since it is smaller than the sum of its proper divisors (71048214720000).

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

21100262400000 is an frugal number, since it uses more digits than its factorization.

21100262400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21100262400000 its reverse (426200112), we get a palindrome (21100688600112).

The spelling of 21100262400000 in words is "twenty-one trillion, one hundred billion, two hundred sixty-two million, four hundred thousand".