10211212212120 has 96 divisors (see below), whose sum is σ = 33371839004400. Its totient is φ = 2707777671936.

The previous prime is 10211212212059. The next prime is 10211212212121. The reversal of 10211212212120 is 2121221211201.

10211212212120 is a `hidden beast` number, since 1 + 0 + 211 + 21 + 221 + 212 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 10211212212093 and 10211212212102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10211212212121) 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, 79165947 + ... + 79294826.

Almost surely, 2^{10211212212120} is an apocalyptic number.

10211212212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10211212212120 is an abundant number, since it is smaller than the sum of its proper divisors (23160626792280).

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

10211212212120 is a wasteful number, since it uses less digits than its factorization.

10211212212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158460969 (or 158460962 counting only the distinct ones).

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

Adding to 10211212212120 its reverse (2121221211201), we get a palindrome (12332433423321).

The spelling of 10211212212120 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, two hundred twelve thousand, one hundred twenty".