200101120220120 has 256 divisors, whose sum is σ = 545329397894400. Its totient is φ = 64617871933440.

The previous prime is 200101120220117. The next prime is 200101120220123. The reversal of 200101120220120 is 21022021101002.

It is an interprime number because it is at equal distance from previous prime (200101120220117) and next prime (200101120220123).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 200101120220095 and 200101120220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101120220123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3807579764 + ... + 3807632316.

It is an arithmetic number, because the mean of its divisors is an integer number (2130192960525).

Almost surely, 2^{200101120220120} is an apocalyptic number.

200101120220120 is a gapful number since it is divisible by the number (20) 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 200101120220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272664698947200).

200101120220120 is an abundant number, since it is smaller than the sum of its proper divisors (345228277674280).

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

200101120220120 is a wasteful number, since it uses less digits than its factorization.

200101120220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64078 (or 64074 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 200101120220120 its reverse (21022021101002), we get a palindrome (221123141321122).

The spelling of 200101120220120 in words is "two hundred trillion, one hundred one billion, one hundred twenty million, two hundred twenty thousand, one hundred twenty".