122101021122102 has 192 divisors, whose sum is σ = 304820334673920. Its totient is φ = 34983890020800.

The previous prime is 122101021122061. The next prime is 122101021122103. The reversal of 122101021122102 is 201221120101221.

122101021122102 is a `hidden beast` number, since 1 + 221 + 0 + 10 + 211 + 221 + 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 (122101021122103) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 57994903 + ... + 60063389.

It is an arithmetic number, because the mean of its divisors is an integer number (1587605909760).

Almost surely, 2^{122101021122102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101021122102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152410167336960).

122101021122102 is an abundant number, since it is smaller than the sum of its proper divisors (182719313551818).

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

122101021122102 is a wasteful number, since it uses less digits than its factorization.

122101021122102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068759 (or 2068756 counting only the distinct ones).

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

Adding to 122101021122102 its reverse (201221120101221), we get a palindrome (323322141223323).

The spelling of 122101021122102 in words is "one hundred twenty-two trillion, one hundred one billion, twenty-one million, one hundred twenty-two thousand, one hundred two".