221010102100000 has 144 divisors (see below), whose sum is σ = 544045683363336. Its totient is φ = 88373409280000.

The previous prime is 221010102099977. The next prime is 221010102100001. The reversal of 221010102100000 is 1201010122.

It can be written as a sum of positive squares in 12 ways, for example, as 165844841461776 + 55165260638224 = 12878076^2 + 7427332^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 221010102100000.

It is not an unprimeable number, because it can be changed into a prime (221010102100001) 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, 289318554 + ... + 290081446.

Almost surely, 2^{221010102100000} is an apocalyptic number.

221010102100000 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 221010102100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272022841681668).

221010102100000 is an abundant number, since it is smaller than the sum of its proper divisors (323035581263336).

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

221010102100000 is an frugal number, since it uses more digits than its factorization.

221010102100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765825 (or 765797 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 221010102100000 its reverse (1201010122), we get a palindrome (221011303110122).

The spelling of 221010102100000 in words is "two hundred twenty-one trillion, ten billion, one hundred two million, one hundred thousand".