21121344701600 has 576 divisors, whose sum is σ = 62354921029632. Its totient is φ = 6883978752000.

The previous prime is 21121344701557. The next prime is 21121344701609. The reversal of 21121344701600 is 610744312112.

It is a super-2 number, since 2×21121344701600² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (21121344701609) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 682838135 + ... + 682869065.

It is an arithmetic number, because the mean of its divisors is an integer number (108255071232).

Almost surely, 2^{21121344701600} is an apocalyptic number.

21121344701600 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 21121344701600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31177460514816).

21121344701600 is an abundant number, since it is smaller than the sum of its proper divisors (41233576328032).

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

21121344701600 is a wasteful number, since it uses less digits than its factorization.

21121344701600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31149 (or 31136 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 32.

The spelling of 21121344701600 in words is "twenty-one trillion, one hundred twenty-one billion, three hundred forty-four million, seven hundred one thousand, six hundred".