10000011121221 has 64 divisors (see below), whose sum is σ = 15442845696000. Its totient is φ = 5696004895680.

The previous prime is 10000011121169. The next prime is 10000011121231. The reversal of 10000011121221 is 12212111000001.

It is not a de Polignac number, because 10000011121221 - 2⁶ = 10000011121157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10000011121197 and 10000011121206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10000011121231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91253700 + ... + 91363218.

It is an arithmetic number, because the mean of its divisors is an integer number (241294464000).

Almost surely, 2^{10000011121221} is an apocalyptic number.

10000011121221 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10000011121221 is a deficient number, since it is larger than the sum of its proper divisors (5442834574779).

10000011121221 is a wasteful number, since it uses less digits than its factorization.

10000011121221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111654.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10000011121221 its reverse (12212111000001), we get a palindrome (22212122121222).

The spelling of 10000011121221 in words is "ten trillion, eleven million, one hundred twenty-one thousand, two hundred twenty-one".