1101666401 has 12 divisors (see below), whose sum is σ = 1215269412. Its totient is φ = 997920000.

The previous prime is 1101666383. The next prime is 1101666409. The reversal of 1101666401 is 1046661011.

It can be written as a sum of positive squares in 2 ways, for example, as 1000140625 + 101525776 = 31625^2 + 10076^2 .

It is not a de Polignac number, because 1101666401 - 2⁶ = 1101666337 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1101666409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17801 + ... + 50201.

It is an arithmetic number, because the mean of its divisors is an integer number (101272451).

Almost surely, 2^1101666401 is an apocalyptic number.

1101666401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1101666401 is a deficient number, since it is larger than the sum of its proper divisors (113603011).

1101666401 is a wasteful number, since it uses less digits than its factorization.

1101666401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32704 (or 32693 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 1101666401 is about 33191.3603366900. The cubic root of 1101666401 is about 1032.8011229416.

The spelling of 1101666401 in words is "one billion, one hundred one million, six hundred sixty-six thousand, four hundred one".