100101001001083 has 2 divisors, whose sum is σ = 100101001001084. Its totient is φ = 100101001001082.

The previous prime is 100101001000981. The next prime is 100101001001123. The reversal of 100101001001083 is 380100100101001.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 100101001001083 - 2¹⁷ = 100101000870011 is a prime.

It is not a weakly prime, because it can be changed into another prime (100101001001783) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50050500500541 + 50050500500542.

It is an arithmetic number, because the mean of its divisors is an integer number (50050500500542).

Almost surely, 2^{100101001001083} is an apocalyptic number.

100101001001083 is a deficient number, since it is larger than the sum of its proper divisors (1).

100101001001083 is an equidigital number, since it uses as much as digits as its factorization.

100101001001083 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 16.

Adding to 100101001001083 its reverse (380100100101001), we get a palindrome (480201101102084).

The spelling of 100101001001083 in words is "one hundred trillion, one hundred one billion, one million, one thousand, eighty-three".