212102121010000 has 100 divisors (see below), whose sum is σ = 553022018222212. Its totient is φ = 78314629248000.

The previous prime is 212102121009983. The next prime is 212102121010001. The reversal of 212102121010000 is 10121201212.

212102121010000 is digitally balanced in base 2, 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 10 ways, for example, as 134422505541184 + 77679615468816 = 11594072^2 + 8813604^2 .

It is a tau number, because it is divible by the number of its divisors (100).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212102121010001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 815647389 + ... + 815907388.

Almost surely, 2^{212102121010000} is an apocalyptic number.

212102121010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212102121010000 is an abundant number, since it is smaller than the sum of its proper divisors (340919897212212).

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

212102121010000 is a wasteful number, since it uses less digits than its factorization.

212102121010000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1631554818 (or 1631554797 counting only the distinct ones).

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

Adding to 212102121010000 its reverse (10121201212), we get a palindrome (212112242211212).

The spelling of 212102121010000 in words is "two hundred twelve trillion, one hundred two billion, one hundred twenty-one million, ten thousand".