101200220001 has 6 divisors (see below), whose sum is σ = 146178095570. Its totient is φ = 67466813328.

The previous prime is 101200219999. The next prime is 101200220003. The reversal of 101200220001 is 100022002101.

It is an interprime number because it is at equal distance from previous prime (101200219999) and next prime (101200220003).

It can be written as a sum of positive squares in only one way, i.e., 85016563776 + 16183656225 = 291576^2 + 127215^2 .

It is not a de Polignac number, because 101200220001 - 2¹ = 101200219999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11244468889 = 101200220001 / (1 + 0 + 1 + 2 + 0 + 0 + 2 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101200220003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5622234436 + ... + 5622234453.

Almost surely, 2^101200220001 is an apocalyptic number.

It is an amenable number.

101200220001 is a deficient number, since it is larger than the sum of its proper divisors (44977875569).

101200220001 is a wasteful number, since it uses less digits than its factorization.

101200220001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11244468895 (or 11244468892 counting only the distinct ones).

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

Adding to 101200220001 its reverse (100022002101), we get a palindrome (201222222102).

It can be divided in two parts, 101200 and 220001, that added together give a triangular number (321201 = T₈₀₁).

The spelling of 101200220001 in words is "one hundred one billion, two hundred million, two hundred twenty thousand, one".