2120221210122 has 64 divisors (see below), whose sum is σ = 4831117441920. Its totient is φ = 688846032000.

The previous prime is 2120221210091. The next prime is 2120221210127. The reversal of 2120221210122 is 2210121220212.

It is a happy number.

2120221210122 is a `hidden beast` number, since 212 + 0 + 221 + 210 + 1 + 22 = 666.

It is a super-3 number, since 3×2120221210122³ (a number of 38 digits) contains 333 as substring.

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 = 2120221210095 and 2120221210104.

It is not an unprimeable number, because it can be changed into a prime (2120221210127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1871328 + ... + 2782500.

It is an arithmetic number, because the mean of its divisors is an integer number (75486210030).

Almost surely, 2^{2120221210122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2120221210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2415558720960).

2120221210122 is an abundant number, since it is smaller than the sum of its proper divisors (2710896231798).

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

2120221210122 is a wasteful number, since it uses less digits than its factorization.

2120221210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912276 (or 912270 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2120221210122 its reverse (2210121220212), we get a palindrome (4330342430334).

The spelling of 2120221210122 in words is "two trillion, one hundred twenty billion, two hundred twenty-one million, two hundred ten thousand, one hundred twenty-two".