100114211601 has 10 divisors (see below), whose sum is σ = 149553328562. Its totient is φ = 66742807680.

The previous prime is 100114211591. The next prime is 100114211621. The reversal of 100114211601 is 106112411001.

100114211601 is a `hidden beast` number, since 1 + 0 + 0 + 11 + 42 + 11 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88401560976 + 11712650625 = 297324^2 + 108225^2 .

It is not a de Polignac number, because 100114211601 - 2¹⁰ = 100114210577 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100114211621) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 617988880 + ... + 617989041.

Almost surely, 2^100114211601 is an apocalyptic number.

It is an amenable number.

100114211601 is a deficient number, since it is larger than the sum of its proper divisors (49439116961).

100114211601 is an equidigital number, since it uses as much as digits as its factorization.

100114211601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1235977933 (or 1235977924 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 100114211601 its reverse (106112411001), we get a palindrome (206226622602).

The spelling of 100114211601 in words is "one hundred billion, one hundred fourteen million, two hundred eleven thousand, six hundred one".