10001100011221 has 6 divisors (see below), whose sum is σ = 10992944640566. Its totient is φ = 9091909101000.

The previous prime is 10001100011197. The next prime is 10001100011239. The reversal of 10001100011221 is 12211000110001.

It can be written as a sum of positive squares in only one way, i.e., 9228654136900 + 772445874321 = 3037870^2 + 878889^2 .

It is not a de Polignac number, because 10001100011221 - 2²¹ = 10001097914069 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10001100011198 and 10001100011207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001100011251) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41326859430 + ... + 41326859671.

Almost surely, 2^{10001100011221} is an apocalyptic number.

10001100011221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10001100011221 is a deficient number, since it is larger than the sum of its proper divisors (991844629345).

10001100011221 is an equidigital number, since it uses as much as digits as its factorization.

10001100011221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82653719123 (or 82653719112 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10001100011221 its reverse (12211000110001), we get a palindrome (22212100121222).

It can be divided in two parts, 1000110001 and 1221, that multiplied together give a palindrome (1221134311221).

The spelling of 10001100011221 in words is "ten trillion, one billion, one hundred million, eleven thousand, two hundred twenty-one".