101683884401 has 12 divisors (see below), whose sum is σ = 111778016196. Its totient is φ = 92431806720.

The previous prime is 101683884361. The next prime is 101683884409. The reversal of 101683884401 is 104488386101.

It can be written as a sum of positive squares in 2 ways, for example, as 69203194225 + 32480690176 = 263065^2 + 180224^2 .

It is a de Polignac number, because none of the positive numbers 2^k-101683884401 is a prime.

It is a super-2 number, since 2×101683884401² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101683884409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1682825 + ... + 1742201.

It is an arithmetic number, because the mean of its divisors is an integer number (9314834683).

Almost surely, 2^101683884401 is an apocalyptic number.

101683884401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101683884401 is a deficient number, since it is larger than the sum of its proper divisors (10094131795).

101683884401 is a wasteful number, since it uses less digits than its factorization.

101683884401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73552 (or 73541 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 44.

The spelling of 101683884401 in words is "one hundred one billion, six hundred eighty-three million, eight hundred eighty-four thousand, four hundred one".