10211212120122 has 192 divisors, whose sum is σ = 25123605736320. Its totient is φ = 3089182406400.

The previous prime is 10211212120079. The next prime is 10211212120163. The reversal of 10211212120122 is 22102121211201.

10211212120122 is a `hidden beast` number, since 1 + 0 + 211 + 212 + 120 + 122 = 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 = 10211212120095 and 10211212120104.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 1641406972 + ... + 1641413192.

It is an arithmetic number, because the mean of its divisors is an integer number (130852113210).

Almost surely, 2^{10211212120122} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211212120122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12561802868160).

10211212120122 is an abundant number, since it is smaller than the sum of its proper divisors (14912393616198).

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

10211212120122 is a wasteful number, since it uses less digits than its factorization.

10211212120122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10571 (or 10559 counting only the distinct ones).

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

Adding to 10211212120122 its reverse (22102121211201), we get a palindrome (32313333331323).

The spelling of 10211212120122 in words is "ten trillion, two hundred eleven billion, two hundred twelve million, one hundred twenty thousand, one hundred twenty-two".