10212212122100 has 72 divisors (see below), whose sum is σ = 23126278156800. Its totient is φ = 3906896273280.

The previous prime is 10212212122087. The next prime is 10212212122109. The reversal of 10212212122100 is 122121221201.

10212212122100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212212122109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23704214 + ... + 24131186.

Almost surely, 2^{10212212122100} is an apocalyptic number.

10212212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212212122100 is an abundant number, since it is smaller than the sum of its proper divisors (12914066034700).

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

10212212122100 is a wasteful number, since it uses less digits than its factorization.

10212212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437409 (or 437402 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10212212122100 its reverse (122121221201), we get a palindrome (10334333343301).

The spelling of 10212212122100 in words is "ten trillion, two hundred twelve billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".