221002000012100 has 144 divisors (see below), whose sum is σ = 488066891053056. Its totient is φ = 86845105152000.

The previous prime is 221002000012063. The next prime is 221002000012153. The reversal of 221002000012100 is 1210000200122.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8797487540 + ... + 8797512660.

Almost surely, 2^{221002000012100} is an apocalyptic number.

221002000012100 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 221002000012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244033445526528).

221002000012100 is an abundant number, since it is smaller than the sum of its proper divisors (267064891040956).

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

221002000012100 is a wasteful number, since it uses less digits than its factorization.

221002000012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29926 (or 29919 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 221002000012100 its reverse (1210000200122), we get a palindrome (222212000212222).

The spelling of 221002000012100 in words is "two hundred twenty-one trillion, two billion, twelve thousand, one hundred".