212002112101 has 8 divisors (see below), whose sum is σ = 228344899160. Its totient is φ = 195664315392.

The previous prime is 212002112071. The next prime is 212002112107. The reversal of 212002112101 is 101211200212.

It can be written as a sum of positive squares in 4 ways, for example, as 9885330625 + 202116781476 = 99425^2 + 449574^2 .

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

It is not a de Polignac number, because 212002112101 - 2¹³ = 212002103909 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212002112107) 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, 1159116 + ... + 1329493.

It is an arithmetic number, because the mean of its divisors is an integer number (28543112395).

Almost surely, 2^212002112101 is an apocalyptic number.

It is an amenable number.

212002112101 is a deficient number, since it is larger than the sum of its proper divisors (16342787059).

212002112101 is a wasteful number, since it uses less digits than its factorization.

212002112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2495175.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 212002112101 its reverse (101211200212), we get a palindrome (313213312313).

The spelling of 212002112101 in words is "two hundred twelve billion, two million, one hundred twelve thousand, one hundred one".