100212210113 has 8 divisors (see below), whose sum is σ = 106167606408. Its totient is φ = 94263542784.

The previous prime is 100212210089. The next prime is 100212210179. The reversal of 100212210113 is 311012212001.

It can be written as a sum of positive squares in 4 ways, for example, as 5171335744 + 95040874369 = 71912^2 + 308287^2 .

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 100212210113 - 2⁸ = 100212209857 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (100212210713) 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, 1651556 + ... + 1711157.

It is an arithmetic number, because the mean of its divisors is an integer number (13270950801).

Almost surely, 2^100212210113 is an apocalyptic number.

It is an amenable number.

100212210113 is a deficient number, since it is larger than the sum of its proper divisors (5955396295).

100212210113 is a wasteful number, since it uses less digits than its factorization.

100212210113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3364483.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100212210113 its reverse (311012212001), we get a palindrome (411224422114).

The spelling of 100212210113 in words is "one hundred billion, two hundred twelve million, two hundred ten thousand, one hundred thirteen".