101100329983 has 32 divisors (see below), whose sum is σ = 108039601152. Its totient is φ = 94403232000.

The previous prime is 101100329969. The next prime is 101100330011. The reversal of 101100329983 is 389923001101.

It is a cyclic number.

It is not a de Polignac number, because 101100329983 - 2⁵ = 101100329951 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101100329483) 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, 160222078 + ... + 160222708.

It is an arithmetic number, because the mean of its divisors is an integer number (3376237536).

Almost surely, 2^101100329983 is an apocalyptic number.

101100329983 is a deficient number, since it is larger than the sum of its proper divisors (6939271169).

101100329983 is a wasteful number, since it uses less digits than its factorization.

101100329983 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1495.

The product of its (nonzero) digits is 11664, while the sum is 37.

The spelling of 101100329983 in words is "one hundred one billion, one hundred million, three hundred twenty-nine thousand, nine hundred eighty-three".