122101020414 has 192 divisors, whose sum is σ = 294432952320. Its totient is φ = 36442897920.

The previous prime is 122101020343. The next prime is 122101020421. The reversal of 122101020414 is 414020101221.

122101020414 is a `hidden beast` number, since 1 + 221 + 0 + 10 + 20 + 414 = 666.

It is a super-2 number, since 2×122101020414² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 49653517 + ... + 49655975.

It is an arithmetic number, because the mean of its divisors is an integer number (1533504960).

Almost surely, 2^122101020414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 122101020414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147216476160).

122101020414 is an abundant number, since it is smaller than the sum of its proper divisors (172331931906).

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

122101020414 is a wasteful number, since it uses less digits than its factorization.

122101020414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2644 counting only the distinct ones).

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

Adding to 122101020414 its reverse (414020101221), we get a palindrome (536121121635).

The spelling of 122101020414 in words is "one hundred twenty-two billion, one hundred one million, twenty thousand, four hundred fourteen".