100133001112123 has 32 divisors (see below), whose sum is σ = 115759720693760. Its totient is φ = 84839965691040.

The previous prime is 100133001112097. The next prime is 100133001112127. The reversal of 100133001112123 is 321211100331001.

It is a de Polignac number, because none of the positive numbers 2^k-100133001112123 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100133001112123.

It is not an unprimeable number, because it can be changed into a prime (100133001112127) 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, 891671608 + ... + 891783898.

It is an arithmetic number, because the mean of its divisors is an integer number (3617491271680).

Almost surely, 2^{100133001112123} is an apocalyptic number.

100133001112123 is a deficient number, since it is larger than the sum of its proper divisors (15626719581637).

100133001112123 is a wasteful number, since it uses less digits than its factorization.

100133001112123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114647.

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 100133001112123 its reverse (321211100331001), we get a palindrome (421344101443124).

The spelling of 100133001112123 in words is "one hundred trillion, one hundred thirty-three billion, one million, one hundred twelve thousand, one hundred twenty-three".