122121100202112 has 768 divisors, whose sum is σ = 421578689126400. Its totient is φ = 33510558105600.

The previous prime is 122121100202099. The next prime is 122121100202137. The reversal of 122121100202112 is 211202001121221.

122121100202112 is a `hidden beast` number, since 1 + 221 + 211 + 0 + 0 + 20 + 211 + 2 = 666.

It is a super-2 number, since 2×122121100202112² (a number of 29 digits) contains 22 as substring.

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

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, 597268537 + ... + 597472967.

It is an arithmetic number, because the mean of its divisors is an integer number (548930584800).

Almost surely, 2^{122121100202112} is an apocalyptic number.

122121100202112 is a gapful number since it is divisible by the number (12) 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 122121100202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210789344563200).

122121100202112 is an abundant number, since it is smaller than the sum of its proper divisors (299457588924288).

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

122121100202112 is a wasteful number, since it uses less digits than its factorization.

122121100202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204585 (or 204570 counting only the distinct ones).

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

Adding to 122121100202112 its reverse (211202001121221), we get a palindrome (333323101323333).

The spelling of 122121100202112 in words is "one hundred twenty-two trillion, one hundred twenty-one billion, one hundred million, two hundred two thousand, one hundred twelve".