21201128101104 has 480 divisors, whose sum is σ = 66805607381760. Its totient is φ = 5770952441856.

The previous prime is 21201128101019. The next prime is 21201128101129. The reversal of 21201128101104 is 40110182110212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1319536879 + ... + 1319552945.

It is an arithmetic number, because the mean of its divisors is an integer number (139178348712).

Almost surely, 2^{21201128101104} is an apocalyptic number.

21201128101104 is a gapful number since it is divisible by the number (24) 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 21201128101104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33402803690880).

21201128101104 is an abundant number, since it is smaller than the sum of its proper divisors (45604479280656).

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

21201128101104 is a wasteful number, since it uses less digits than its factorization.

21201128101104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16445 (or 16432 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 24.

The spelling of 21201128101104 in words is "twenty-one trillion, two hundred one billion, one hundred twenty-eight million, one hundred one thousand, one hundred four".