10000100011221 has 12 divisors (see below), whose sum is σ = 14445712902348. Its totient is φ = 6666214572864.

The previous prime is 10000100011219. The next prime is 10000100011247. The reversal of 10000100011221 is 12211000100001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1202884691121 + 8797215320100 = 1096761^2 + 2966010^2 .

It is not a de Polignac number, because 10000100011221 - 2¹ = 10000100011219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000100011021) 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 11 ways as a sum of consecutive naturals, for example, 43108560 + ... + 43339913.

It is an arithmetic number, because the mean of its divisors is an integer number (1203809408529).

Almost surely, 2^{10000100011221} is an apocalyptic number.

It is an amenable number.

10000100011221 is a deficient number, since it is larger than the sum of its proper divisors (4445612891127).

10000100011221 is a wasteful number, since it uses less digits than its factorization.

10000100011221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86461332 (or 86461329 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10000100011221 its reverse (12211000100001), we get a palindrome (22211100111222).

The spelling of 10000100011221 in words is "ten trillion, one hundred million, eleven thousand, two hundred twenty-one".