100105750081001 has 6 divisors (see below), whose sum is σ = 116449546012650. Its totient is φ = 85804928640816.

The previous prime is 100105750080997. The next prime is 100105750081021. The reversal of 100105750081001 is 100180057501001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99412385771776 + 693364309225 = 9970576^2 + 832685^2 .

It is not a de Polignac number, because 100105750081001 - 2² = 100105750080997 is a prime.

It is a super-2 number, since 2×100105750081001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100105750081021) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1021487245676 + ... + 1021487245773.

It is an arithmetic number, because the mean of its divisors is an integer number (19408257668775).

Almost surely, 2^{100105750081001} is an apocalyptic number.

It is an amenable number.

100105750081001 is a deficient number, since it is larger than the sum of its proper divisors (16343795931649).

100105750081001 is an equidigital number, since it uses as much as digits as its factorization.

100105750081001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042974491463 (or 2042974491456 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 29.

The spelling of 100105750081001 in words is "one hundred trillion, one hundred five billion, seven hundred fifty million, eighty-one thousand, one".