10211212120212 has 72 divisors (see below), whose sum is σ = 26251074420480. Its totient is φ = 3345803015040.

The previous prime is 10211212120163. The next prime is 10211212120223. The reversal of 10211212120212 is 21202121211201.

10211212120212 is a `hidden beast` number, since 10 + 211 + 21 + 212 + 0 + 212 = 666.

10211212120212 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30211512 + ... + 30547632.

It is an arithmetic number, because the mean of its divisors is an integer number (364598255840).

Almost surely, 2^{10211212120212} is an apocalyptic number.

10211212120212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10211212120212 is an abundant number, since it is smaller than the sum of its proper divisors (16039862300268).

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

10211212120212 is a wasteful number, since it uses less digits than its factorization.

10211212120212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350493 (or 350488 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 10211212120212 its reverse (21202121211201), we get a palindrome (31413333331413).

The spelling of 10211212120212 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty thousand, two hundred twelve".