21100035434112 has 512 divisors, whose sum is σ = 64083156480000. Its totient is φ = 6832794009600.

The previous prime is 21100035434077. The next prime is 21100035434171. The reversal of 21100035434112 is 21143453000112.

21100035434112 is a `hidden beast` number, since 2 + 1 + 1 + 0 + 0 + 0 + 3 + 543 + 4 + 112 = 666.

It is a super-2 number, since 2×21100035434112² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4740513487 + ... + 4740517937.

It is an arithmetic number, because the mean of its divisors is an integer number (125162415000).

Almost surely, 2^{21100035434112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21100035434112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32041578240000).

21100035434112 is an abundant number, since it is smaller than the sum of its proper divisors (42983121045888).

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

21100035434112 is a wasteful number, since it uses less digits than its factorization.

21100035434112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4829 (or 4811 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 21100035434112 its reverse (21143453000112), we get a palindrome (42243488434224).

The spelling of 21100035434112 in words is "twenty-one trillion, one hundred billion, thirty-five million, four hundred thirty-four thousand, one hundred twelve".