120210122121102 has 120 divisors (see below), whose sum is σ = 292056868168560. Its totient is φ = 36939119368320.

The previous prime is 120210122121049. The next prime is 120210122121109. The reversal of 120210122121102 is 201121221012021.

120210122121102 is a `hidden beast` number, since 1 + 20 + 210 + 1 + 221 + 211 + 0 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120210122121109) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17949799 + ... + 23719517.

It is an arithmetic number, because the mean of its divisors is an integer number (2433807234738).

Almost surely, 2^{120210122121102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120210122121102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146028434084280).

120210122121102 is an abundant number, since it is smaller than the sum of its proper divisors (171846746047458).

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

120210122121102 is a wasteful number, since it uses less digits than its factorization.

120210122121102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770520 (or 5770498 counting only the distinct ones).

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

Adding to 120210122121102 its reverse (201121221012021), we get a palindrome (321331343133123).

The spelling of 120210122121102 in words is "one hundred twenty trillion, two hundred ten billion, one hundred twenty-two million, one hundred twenty-one thousand, one hundred two".