1011220100001 has 48 divisors (see below), whose sum is σ = 1524305507920. Its totient is φ = 645398046720.

The previous prime is 1011220099997. The next prime is 1011220100003. The reversal of 1011220100001 is 1000010221101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 157815507600 + 853404592401 = 397260^2 + 923799^2 .

It is not a de Polignac number, because 1011220100001 - 2² = 1011220099997 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011220100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10184685 + ... + 10283493.

Almost surely, 2^{1011220100001} is an apocalyptic number.

It is an amenable number.

1011220100001 is a deficient number, since it is larger than the sum of its proper divisors (513085407919).

1011220100001 is a wasteful number, since it uses less digits than its factorization.

1011220100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99346 (or 99343 counting only the distinct ones).

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

Adding to 1011220100001 its reverse (1000010221101), we get a palindrome (2011230321102).

The spelling of 1011220100001 in words is "one trillion, eleven billion, two hundred twenty million, one hundred thousand, one".