210101012122120 has 128 divisors (see below), whose sum is σ = 550480326359040. Its totient is φ = 70672021954560.

The previous prime is 210101012122097. The next prime is 210101012122123. The reversal of 210101012122120 is 21221210101012.

It is a junction number, because it is equal to n+sod(n) for n = 210101012122094 and 210101012122103.

It is not an unprimeable number, because it can be changed into a prime (210101012122123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 311644600 + ... + 312318040.

It is an arithmetic number, because the mean of its divisors is an integer number (4300627549680).

Almost surely, 2^{210101012122120} is an apocalyptic number.

210101012122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210101012122120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275240163179520).

210101012122120 is an abundant number, since it is smaller than the sum of its proper divisors (340379314236920).

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

210101012122120 is a wasteful number, since it uses less digits than its factorization.

210101012122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694535 (or 694531 counting only the distinct ones).

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

Adding to 210101012122120 its reverse (21221210101012), we get a palindrome (231322222223132).

The spelling of 210101012122120 in words is "two hundred ten trillion, one hundred one billion, twelve million, one hundred twenty-two thousand, one hundred twenty".