101014303101200 has 120 divisors (see below), whose sum is σ = 245742505827168. Its totient is φ = 39897499530240.

The previous prime is 101014303101199. The next prime is 101014303101203. The reversal of 101014303101200 is 2101303410101.

It is a super-2 number, since 2×101014303101200² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101014303101203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 61169564 + ... + 62799236.

Almost surely, 2^{101014303101200} is an apocalyptic number.

101014303101200 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 101014303101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122871252913584).

101014303101200 is an abundant number, since it is smaller than the sum of its proper divisors (144728202725968).

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

101014303101200 is a wasteful number, since it uses less digits than its factorization.

101014303101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631641 (or 1631630 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 101014303101200 its reverse (2101303410101), we get a palindrome (103115606511301).

The spelling of 101014303101200 in words is "one hundred one trillion, fourteen billion, three hundred three million, one hundred one thousand, two hundred".