101200122045 has 72 divisors (see below), whose sum is σ = 196448412888. Its totient is φ = 48140801280.

The previous prime is 101200122043. The next prime is 101200122053. The reversal of 101200122045 is 540221002101.

It can be written as a sum of positive squares in 4 ways, for example, as 5242049604 + 95958072441 = 72402^2 + 309771^2 .

It is not a de Polignac number, because 101200122045 - 2¹ = 101200122043 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200122043) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 113247 + ... + 463923.

It is an arithmetic number, because the mean of its divisors is an integer number (2728450179).

Almost surely, 2^101200122045 is an apocalyptic number.

101200122045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

101200122045 is a deficient number, since it is larger than the sum of its proper divisors (95248290843).

101200122045 is a wasteful number, since it uses less digits than its factorization.

101200122045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350763 (or 350749 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

Adding to 101200122045 its reverse (540221002101), we get a palindrome (641421124146).

The spelling of 101200122045 in words is "one hundred one billion, two hundred million, one hundred twenty-two thousand, forty-five".