100114242411001 has 48 divisors (see below), whose sum is σ = 124654192475904. Its totient is φ = 78725730200832.

The previous prime is 100114242410953. The next prime is 100114242411013.

100114242411001 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 100114242411001 - 2¹¹ = 100114242408953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100114242411031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1556155831 + ... + 1556220163.

It is an arithmetic number, because the mean of its divisors is an integer number (2596962343248).

Almost surely, 2^{100114242411001} is an apocalyptic number.

It is an amenable number.

100114242411001 is a deficient number, since it is larger than the sum of its proper divisors (24539950064903).

100114242411001 is a wasteful number, since it uses less digits than its factorization.

100114242411001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72410 (or 72397 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The spelling of 100114242411001 in words is "one hundred trillion, one hundred fourteen billion, two hundred forty-two million, four hundred eleven thousand, one".