10101100011121 has 16 divisors (see below), whose sum is σ = 11733756991488. Its totient is φ = 8515863259200.

The previous prime is 10101100011113. The next prime is 10101100011227. The reversal of 10101100011121 is 12111000110101.

It is a cyclic number.

It is not a de Polignac number, because 10101100011121 - 2³ = 10101100011113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10101100011098 and 10101100011107.

It is not an unprimeable number, because it can be changed into a prime (10101100014121) 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, 12816351 + ... + 13581643.

It is an arithmetic number, because the mean of its divisors is an integer number (733359811968).

Almost surely, 2^{10101100011121} is an apocalyptic number.

It is an amenable number.

10101100011121 is a deficient number, since it is larger than the sum of its proper divisors (1632656980367).

10101100011121 is an equidigital number, since it uses as much as digits as its factorization.

10101100011121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 796272.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 10101100011121 its reverse (12111000110101), we get a palindrome (22212100121222).

The spelling of 10101100011121 in words is "ten trillion, one hundred one billion, one hundred million, eleven thousand, one hundred twenty-one".