101122211121101 has 8 divisors (see below), whose sum is σ = 101400237105024. Its totient is φ = 100844198663040.

The previous prime is 101122211121089. The next prime is 101122211121161. The reversal of 101122211121101 is 101121112221101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101122211121101 - 2¹⁸ = 101122210858957 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 101122211121101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101122211121161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11683646 + ... + 18405216.

It is an arithmetic number, because the mean of its divisors is an integer number (12675029638128).

Almost surely, 2^{101122211121101} is an apocalyptic number.

It is an amenable number.

101122211121101 is a deficient number, since it is larger than the sum of its proper divisors (278025983923).

101122211121101 is an equidigital number, since it uses as much as digits as its factorization.

101122211121101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6762931.

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

Adding to 101122211121101 its reverse (101121112221101), we get a palindrome (202243323342202).

The spelling of 101122211121101 in words is "one hundred one trillion, one hundred twenty-two billion, two hundred eleven million, one hundred twenty-one thousand, one hundred one".