101000001200121 has 6 divisors (see below), whose sum is σ = 145888890622410. Its totient is φ = 67333334133408.

The previous prime is 101000001200099. The next prime is 101000001200123. The reversal of 101000001200121 is 121002100000101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 97043402825721 + 3956598374400 = 9851061^2 + 1989120^2 .

It is not a de Polignac number, because 101000001200121 - 2²³ = 100999992811513 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: 11222222355569 = 101000001200121 / (1 + 0 + 1 + 0 + 0 + 0 + 0 + 0 + 1 + 2 + 0 + 0 + 1 + 2 + 1).

It is not an unprimeable number, because it can be changed into a prime (101000001200123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611111177776 + ... + 5611111177793.

It is an arithmetic number, because the mean of its divisors is an integer number (24314815103735).

Almost surely, 2^{101000001200121} is an apocalyptic number.

It is an amenable number.

101000001200121 is a deficient number, since it is larger than the sum of its proper divisors (44888889422289).

101000001200121 is a wasteful number, since it uses less digits than its factorization.

101000001200121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222222355575 (or 11222222355572 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101000001200121 its reverse (121002100000101), we get a palindrome (222002101200222).

The spelling of 101000001200121 in words is "one hundred one trillion, one million, two hundred thousand, one hundred twenty-one".