210212102011120 has 160 divisors (see below), whose sum is σ = 564550569326016. Its totient is φ = 71942586777600.

The previous prime is 210212102011027. The next prime is 210212102011151. The reversal of 210212102011120 is 21110201212012.

It is a super-2 number, since 2×210212102011120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 210212102011094 and 210212102011103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 769360930 + ... + 769634110.

Almost surely, 2^{210212102011120} is an apocalyptic number.

210212102011120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210212102011120 is an abundant number, since it is smaller than the sum of its proper divisors (354338467314896).

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

210212102011120 is a wasteful number, since it uses less digits than its factorization.

210212102011120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324659 (or 324653 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 210212102011120 its reverse (21110201212012), we get a palindrome (231322303223132).

The spelling of 210212102011120 in words is "two hundred ten trillion, two hundred twelve billion, one hundred two million, eleven thousand, one hundred twenty".