101001111200001 has 6 divisors (see below), whose sum is σ = 145890493955570. Its totient is φ = 67334074133328.

The previous prime is 101001111199951. The next prime is 101001111200023. The reversal of 101001111200001 is 100002111100101.

It can be written as a sum of positive squares in only one way, i.e., 100942510410225 + 58600789776 = 10047015^2 + 242076^2 .

It is not a de Polignac number, because 101001111200001 - 2¹⁷ = 101001111068929 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: 11222345688889 = 101001111200001 / (1 + 0 + 1 + 0 + 0 + 1 + 1 + 1 + 1 + 2 + 0 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101001111200071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611172844436 + ... + 5611172844453.

Almost surely, 2^{101001111200001} is an apocalyptic number.

It is an amenable number.

101001111200001 is a deficient number, since it is larger than the sum of its proper divisors (44889382755569).

101001111200001 is a wasteful number, since it uses less digits than its factorization.

101001111200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11222345688895 (or 11222345688892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101001111200001 its reverse (100002111100101), we get a palindrome (201003222300102).

The spelling of 101001111200001 in words is "one hundred one trillion, one billion, one hundred eleven million, two hundred thousand, one".