120101200102272 has 128 divisors (see below), whose sum is σ = 319762244736000. Its totient is φ = 39940480548864.

The previous prime is 120101200102271. The next prime is 120101200102441. The reversal of 120101200102272 is 272201002101021.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120101200102271) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780363504 + ... + 780517392.

It is an arithmetic number, because the mean of its divisors is an integer number (2498142537000).

Almost surely, 2^{120101200102272} is an apocalyptic number.

120101200102272 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 120101200102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159881122368000).

120101200102272 is an abundant number, since it is smaller than the sum of its proper divisors (199661044633728).

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

120101200102272 is a wasteful number, since it uses less digits than its factorization.

120101200102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158628 (or 158616 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 21.

Adding to 120101200102272 its reverse (272201002101021), we get a palindrome (392302202203293).

The spelling of 120101200102272 in words is "one hundred twenty trillion, one hundred one billion, two hundred million, one hundred two thousand, two hundred seventy-two".