10011101222101 has 32 divisors (see below), whose sum is σ = 11896486848000. Its totient is φ = 8242660753152.

The previous prime is 10011101222093. The next prime is 10011101222123. The reversal of 10011101222101 is 10122210111001.

It is a happy number.

It is not a de Polignac number, because 10011101222101 - 2³ = 10011101222093 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 (10011101222501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 32601840 + ... + 32907478.

It is an arithmetic number, because the mean of its divisors is an integer number (371765214000).

Almost surely, 2^{10011101222101} is an apocalyptic number.

It is an amenable number.

10011101222101 is a deficient number, since it is larger than the sum of its proper divisors (1885385625899).

10011101222101 is a wasteful number, since it uses less digits than its factorization.

10011101222101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306501.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10011101222101 its reverse (10122210111001), we get a palindrome (20133311333102).

Subtracting 10011101222101 from its reverse (10122210111001), we obtain a square (111108888900 = 333330²).

The spelling of 10011101222101 in words is "ten trillion, eleven billion, one hundred one million, two hundred twenty-two thousand, one hundred one".