10101112211121 has 128 divisors (see below), whose sum is σ = 14720764477440. Its totient is φ = 6147898444800.

The previous prime is 10101112211117. The next prime is 10101112211137. The reversal of 10101112211121 is 12111221110101.

10101112211121 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 10101112211121 - 2² = 10101112211117 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10101112211121.

It is not an unprimeable number, because it can be changed into a prime (10101112211161) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4451789175 + ... + 4451791443.

It is an arithmetic number, because the mean of its divisors is an integer number (115005972480).

Almost surely, 2^{10101112211121} is an apocalyptic number.

It is an amenable number.

10101112211121 is a deficient number, since it is larger than the sum of its proper divisors (4619652266319).

10101112211121 is a wasteful number, since it uses less digits than its factorization.

10101112211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 10101112211121 its reverse (12111221110101), we get a palindrome (22212333321222).

The spelling of 10101112211121 in words is "ten trillion, one hundred one billion, one hundred twelve million, two hundred eleven thousand, one hundred twenty-one".