100012211201329 has 24 divisors (see below), whose sum is σ = 123453858532680. Its totient is φ = 80505572345856.

The previous prime is 100012211201321. The next prime is 100012211201347. The reversal of 100012211201329 is 923102112210001.

It can be written as a sum of positive squares in 4 ways, for example, as 18188391096225 + 81823820105104 = 4264785^2 + 9045652^2 .

It is not a de Polignac number, because 100012211201329 - 2³ = 100012211201321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100012211201321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130978924 + ... + 131740285.

It is an arithmetic number, because the mean of its divisors is an integer number (5143910772195).

Almost surely, 2^{100012211201329} is an apocalyptic number.

It is an amenable number.

100012211201329 is a deficient number, since it is larger than the sum of its proper divisors (23441647331351).

100012211201329 is a wasteful number, since it uses less digits than its factorization.

100012211201329 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262719697 (or 262719690 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The spelling of 100012211201329 in words is "one hundred trillion, twelve billion, two hundred eleven million, two hundred one thousand, three hundred twenty-nine".