21101012221200 has 120 divisors (see below), whose sum is σ = 69420429361728. Its totient is φ = 5474857213440.

The previous prime is 21101012221199. The next prime is 21101012221207. The reversal of 21101012221200 is 212221010112.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×21101012221200³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21101012221200.

It is not an unprimeable number, because it can be changed into a prime (21101012221207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237579612 + ... + 237668411.

Almost surely, 2^{21101012221200} is an apocalyptic number.

21101012221200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101012221200 is an abundant number, since it is smaller than the sum of its proper divisors (48319417140528).

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

21101012221200 is a wasteful number, since it uses less digits than its factorization.

21101012221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475248081 (or 475248070 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21101012221200 its reverse (212221010112), we get a palindrome (21313233231312).

The spelling of 21101012221200 in words is "twenty-one trillion, one hundred one billion, twelve million, two hundred twenty-one thousand, two hundred".