100133221212123 has 16 divisors (see below), whose sum is σ = 145649283949056. Its totient is φ = 60686399823840.

The previous prime is 100133221212119. The next prime is 100133221212191. The reversal of 100133221212123 is 321212122331001.

It is not a de Polignac number, because 100133221212123 - 2² = 100133221212119 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100133221212093 and 100133221212102.

It is not an unprimeable number, because it can be changed into a prime (100133221212023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4912915 + ... + 14980092.

It is an arithmetic number, because the mean of its divisors is an integer number (9103080246816).

Almost surely, 2^{100133221212123} is an apocalyptic number.

100133221212123 is a deficient number, since it is larger than the sum of its proper divisors (45516062736933).

100133221212123 is a wasteful number, since it uses less digits than its factorization.

100133221212123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20045554.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100133221212123 its reverse (321212122331001), we get a palindrome (421345343543124).

The spelling of 100133221212123 in words is "one hundred trillion, one hundred thirty-three billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty-three".