101011222111121 has 16 divisors (see below), whose sum is σ = 118301921147904. Its totient is φ = 84460746507984.

The previous prime is 101011222111099. The next prime is 101011222111139. The reversal of 101011222111121 is 121111222110101.

It is not a de Polignac number, because 101011222111121 - 2⁶ = 101011222111057 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 101011222111121.

It is not an unprimeable number, because it can be changed into a prime (101011222111181) 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, 1045464995 + ... + 1045561608.

It is an arithmetic number, because the mean of its divisors is an integer number (7393870071744).

Almost surely, 2^{101011222111121} is an apocalyptic number.

It is an amenable number.

101011222111121 is a deficient number, since it is larger than the sum of its proper divisors (17290699036783).

101011222111121 is a wasteful number, since it uses less digits than its factorization.

101011222111121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2091026780.

The product of its (nonzero) digits is 16, while the sum is 17.

Adding to 101011222111121 its reverse (121111222110101), we get a palindrome (222122444221222).

The spelling of 101011222111121 in words is "one hundred one trillion, eleven billion, two hundred twenty-two million, one hundred eleven thousand, one hundred twenty-one".