122101121202120 has 192 divisors, whose sum is σ = 407629636989120. Its totient is φ = 31674391414272.

The previous prime is 122101121202103. The next prime is 122101121202163. The reversal of 122101121202120 is 21202121101221.

122101121202120 is a `hidden beast` number, since 1 + 221 + 0 + 1 + 121 + 202 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 122101121202093 and 122101121202102.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70904019 + ... + 72605661.

It is an arithmetic number, because the mean of its divisors is an integer number (2123071025985).

Almost surely, 2^{122101121202120} is an apocalyptic number.

122101121202120 is a gapful number since it is divisible by the number (10) 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 122101121202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203814818494560).

122101121202120 is an abundant number, since it is smaller than the sum of its proper divisors (285528515787000).

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

122101121202120 is a wasteful number, since it uses less digits than its factorization.

122101121202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1707084 (or 1707077 counting only the distinct ones).

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

Adding to 122101121202120 its reverse (21202121101221), we get a palindrome (143303242303341).

The spelling of 122101121202120 in words is "one hundred twenty-two trillion, one hundred one billion, one hundred twenty-one million, two hundred two thousand, one hundred twenty".