212100121010120 has 128 divisors (see below), whose sum is σ = 556989088435200. Its totient is φ = 71191051008000.

The previous prime is 212100121010081. The next prime is 212100121010123. The reversal of 212100121010120 is 21010121001212.

It is a super-2 number, since 2×212100121010120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 212100121010095 and 212100121010104.

It is not an unprimeable number, because it can be changed into a prime (212100121010123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39617936 + ... + 44651775.

It is an arithmetic number, because the mean of its divisors is an integer number (4351477253400).

Almost surely, 2^{212100121010120} is an apocalyptic number.

212100121010120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212100121010120 is an abundant number, since it is smaller than the sum of its proper divisors (344888967425080).

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

212100121010120 is a wasteful number, since it uses less digits than its factorization.

212100121010120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84269919 (or 84269915 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212100121010120 its reverse (21010121001212), we get a palindrome (233110242011332).

The spelling of 212100121010120 in words is "two hundred twelve trillion, one hundred billion, one hundred twenty-one million, ten thousand, one hundred twenty".