101200220000001 has 48 divisors (see below), whose sum is σ = 147737445486592. Its totient is φ = 66748380739200.

The previous prime is 101200219999973. The next prime is 101200220000003. The reversal of 101200220000001 is 100000022002101.

It is not a de Polignac number, because 101200220000001 - 2²² = 101200215805697 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200220000003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10831657536 + ... + 10831666878.

Almost surely, 2^{101200220000001} is an apocalyptic number.

It is an amenable number.

101200220000001 is a deficient number, since it is larger than the sum of its proper divisors (46537225486591).

101200220000001 is a wasteful number, since it uses less digits than its factorization.

101200220000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19294 (or 19291 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101200220000001 its reverse (100000022002101), we get a palindrome (201200242002102).

The spelling of 101200220000001 in words is "one hundred one trillion, two hundred billion, two hundred twenty million, one", and thus it is an aban number.