101112222211101 has 48 divisors (see below), whose sum is σ = 147780392760000. Its totient is φ = 66612607891200.

The previous prime is 101112222211037. The next prime is 101112222211129.

It is a happy number.

101112222211101 is a `hidden beast` number, since 1 + 0 + 111 + 222 + 221 + 110 + 1 = 666.

101112222211101 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 101112222211101 - 2⁶ = 101112222211037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112222211141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544868225 + ... + 1544933673.

It is an arithmetic number, because the mean of its divisors is an integer number (3078758182500).

Almost surely, 2^{101112222211101} is an apocalyptic number.

It is an amenable number.

101112222211101 is a deficient number, since it is larger than the sum of its proper divisors (46668170548899).

101112222211101 is a wasteful number, since it uses less digits than its factorization.

101112222211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68794 (or 68791 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

The spelling of 101112222211101 in words is "one hundred one trillion, one hundred twelve billion, two hundred twenty-two million, two hundred eleven thousand, one hundred one".