100212110202013 has 32 divisors (see below), whose sum is σ = 104145592924800. Its totient is φ = 96379785716736.

The previous prime is 100212110201993. The next prime is 100212110202037. The reversal of 100212110202013 is 310202011212001.

It is a cyclic number.

It is not a de Polignac number, because 100212110202013 - 2²⁹ = 100211573331101 is a prime.

It is a super-2 number, since 2×100212110202013² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212110292013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 274210995 + ... + 274576207.

It is an arithmetic number, because the mean of its divisors is an integer number (3254549778900).

Almost surely, 2^{100212110202013} is an apocalyptic number.

It is an amenable number.

100212110202013 is a deficient number, since it is larger than the sum of its proper divisors (3933482722787).

100212110202013 is a wasteful number, since it uses less digits than its factorization.

100212110202013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365901.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100212110202013 its reverse (310202011212001), we get a palindrome (410414121414014).

The spelling of 100212110202013 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, two hundred two thousand, thirteen".