101212004100224 has 32 divisors (see below), whose sum is σ = 203898832019100. Its totient is φ = 50037395279872.

The previous prime is 101212004100217. The next prime is 101212004100241. The reversal of 101212004100224 is 422001400212101.

101212004100224 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 80740288513600 + 20471715586624 = 8985560^2 + 4524568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 101212004100196 and 101212004100205.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4442228957 + ... + 4442251740.

Almost surely, 2^{101212004100224} is an apocalyptic number.

It is an amenable number.

101212004100224 is an abundant number, since it is smaller than the sum of its proper divisors (102686827918876).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101212004100224 is an frugal number, since it uses more digits than its factorization.

101212004100224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8884480800 (or 8884480788 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 101212004100224 its reverse (422001400212101), we get a palindrome (523213404312325).

The spelling of 101212004100224 in words is "one hundred one trillion, two hundred twelve billion, four million, one hundred thousand, two hundred twenty-four".