221012212001100 has 144 divisors (see below), whose sum is σ = 691685093987328. Its totient is φ = 54163344994560.

The previous prime is 221012212001081. The next prime is 221012212001107. The reversal of 221012212001100 is 1100212210122.

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 221012212001100.

It is not an unprimeable number, because it can be changed into a prime (221012212001107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123938044 + ... + 125708643.

Almost surely, 2^{221012212001100} is an apocalyptic number.

221012212001100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221012212001100 is an abundant number, since it is smaller than the sum of its proper divisors (470672881986228).

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

221012212001100 is a wasteful number, since it uses less digits than its factorization.

221012212001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249646944 (or 249646937 counting only the distinct ones).

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

Adding to 221012212001100 its reverse (1100212210122), we get a palindrome (222112424211222).

The spelling of 221012212001100 in words is "two hundred twenty-one trillion, twelve billion, two hundred twelve million, one thousand, one hundred".