10012211121101 has 16 divisors (see below), whose sum is σ = 11537005209600. Its totient is φ = 8511313924080.

The previous prime is 10012211121097. The next prime is 10012211121131. The reversal of 10012211121101 is 10112111221001.

It is a cyclic number.

It is not a de Polignac number, because 10012211121101 - 2² = 10012211121097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10012211121131) 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, 11122271 + ... + 11988716.

It is an arithmetic number, because the mean of its divisors is an integer number (721062825600).

Almost surely, 2^{10012211121101} is an apocalyptic number.

It is an amenable number.

10012211121101 is a deficient number, since it is larger than the sum of its proper divisors (1524794088499).

10012211121101 is a wasteful number, since it uses less digits than its factorization.

10012211121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23111504.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 10012211121101 its reverse (10112111221001), we get a palindrome (20124322342102).

The spelling of 10012211121101 in words is "ten trillion, twelve billion, two hundred eleven million, one hundred twenty-one thousand, one hundred one".