122101002201120 has 48 divisors (see below), whose sum is σ = 384618156935040. Its totient is φ = 32560267253504.

The previous prime is 122101002201083. The next prime is 122101002201169. The reversal of 122101002201120 is 21102200101221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-4 number, since 4×122101002201120⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 122101002201120.

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 7 ways as a sum of consecutive naturals, for example, 127188543480 + ... + 127188544439.

It is an arithmetic number, because the mean of its divisors is an integer number (8012878269480).

Almost surely, 2^{122101002201120} is an apocalyptic number.

122101002201120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122101002201120 is an abundant number, since it is smaller than the sum of its proper divisors (262517154733920).

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

122101002201120 is a wasteful number, since it uses less digits than its factorization.

122101002201120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254377087937 (or 254377087929 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 122101002201120 its reverse (21102200101221), we get a palindrome (143203202302341).

The spelling of 122101002201120 in words is "one hundred twenty-two trillion, one hundred one billion, two million, two hundred one thousand, one hundred twenty".