1011201000111 has 32 divisors (see below), whose sum is σ = 1577852236800. Its totient is φ = 638276371200.

The previous prime is 1011201000037. The next prime is 1011201000113. The reversal of 1011201000111 is 1110001021101.

It is not a de Polignac number, because 1011201000111 - 2¹⁹ = 1011200475823 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 1011201000093 and 1011201000102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1011201000113) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 289786 + ... + 1451336.

It is an arithmetic number, because the mean of its divisors is an integer number (49307882400).

Almost surely, 2^{1011201000111} is an apocalyptic number.

1011201000111 is a deficient number, since it is larger than the sum of its proper divisors (566651236689).

1011201000111 is a wasteful number, since it uses less digits than its factorization.

1011201000111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163276 (or 1163270 counting only the distinct ones).

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

Adding to 1011201000111 its reverse (1110001021101), we get a palindrome (2121202021212).

The spelling of 1011201000111 in words is "one trillion, eleven billion, two hundred one million, one hundred eleven", and thus it is an aban number.