10002211011121 has 16 divisors (see below), whose sum is σ = 11665111248000. Its totient is φ = 8572790680944.

The previous prime is 10002211011119. The next prime is 10002211011197. The reversal of 10002211011121 is 12111011220001.

It is a happy number.

10002211011121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10002211011121 - 2¹ = 10002211011119 is a prime.

It is a super-2 number, since 2×10002211011121² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10002211012121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4668126 + ... + 6464968.

It is an arithmetic number, because the mean of its divisors is an integer number (729069453000).

Almost surely, 2^{10002211011121} is an apocalyptic number.

It is an amenable number.

10002211011121 is a deficient number, since it is larger than the sum of its proper divisors (1662900236879).

10002211011121 is an equidigital number, since it uses as much as digits as its factorization.

10002211011121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1813093 (or 1813079 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10002211011121 its reverse (12111011220001), we get a palindrome (22113222231122).

The spelling of 10002211011121 in words is "ten trillion, two billion, two hundred eleven million, eleven thousand, one hundred twenty-one".