101222012200113 has 32 divisors (see below), whose sum is σ = 177290880710400. Its totient is φ = 55846627417728.

The previous prime is 101222012200069. The next prime is 101222012200121. The reversal of 101222012200113 is 311002210222101.

101222012200113 is a `hidden beast` number, since 10 + 122 + 201 + 220 + 0 + 113 = 666.

It is not a de Polignac number, because 101222012200113 - 2¹³ = 101222012191921 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101222012200013) 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, 9233894556 + ... + 9233905517.

It is an arithmetic number, because the mean of its divisors is an integer number (5540340022200).

Almost surely, 2^{101222012200113} is an apocalyptic number.

It is an amenable number.

101222012200113 is a deficient number, since it is larger than the sum of its proper divisors (76068868510287).

101222012200113 is a wasteful number, since it uses less digits than its factorization.

101222012200113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18467800118 (or 18467800112 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 101222012200113 its reverse (311002210222101), we get a palindrome (412224222422214).

The spelling of 101222012200113 in words is "one hundred one trillion, two hundred twenty-two billion, twelve million, two hundred thousand, one hundred thirteen".