1011200012001 has 6 divisors (see below), whose sum is σ = 1460622239570. Its totient is φ = 674133341328.

The previous prime is 1011200011973. The next prime is 1011200012041. The reversal of 1011200012001 is 1002100021101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 578793816225 + 432406195776 = 760785^2 + 657576^2 .

It is not a de Polignac number, because 1011200012001 - 2¹³ = 1011200003809 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: 112355556889 = 1011200012001 / (1 + 0 + 1 + 1 + 2 + 0 + 0 + 0 + 1 + 2 + 0 + 0 + 1).

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1011200012041) 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, 56177778436 + ... + 56177778453.

Almost surely, 2^{1011200012001} is an apocalyptic number.

It is an amenable number.

1011200012001 is a deficient number, since it is larger than the sum of its proper divisors (449422227569).

1011200012001 is a wasteful number, since it uses less digits than its factorization.

1011200012001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112355556895 (or 112355556892 counting only the distinct ones).

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

Adding to 1011200012001 its reverse (1002100021101), we get a palindrome (2013300033102).

The spelling of 1011200012001 in words is "one trillion, eleven billion, two hundred million, twelve thousand, one".