100212122111009 has 8 divisors (see below), whose sum is σ = 103701847526760. Its totient is φ = 96724672361856.

The previous prime is 100212122110873. The next prime is 100212122111053. The reversal of 100212122111009 is 900111221212001.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 10423231621009 + 89788890490000 = 3228503^2 + 9475700^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100212122111009 - 2³⁶ = 100143402634273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100212122111099) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 568827044 + ... + 569003189.

It is an arithmetic number, because the mean of its divisors is an integer number (12962730940845).

Almost surely, 2^{100212122111009} is an apocalyptic number.

It is an amenable number.

100212122111009 is a deficient number, since it is larger than the sum of its proper divisors (3489725415751).

100212122111009 is a wasteful number, since it uses less digits than its factorization.

100212122111009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1137833299.

The product of its (nonzero) digits is 144, while the sum is 23.

The spelling of 100212122111009 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty-two million, one hundred eleven thousand, nine".