101301303213100 has 72 divisors (see below), whose sum is σ = 223567720750080. Its totient is φ = 39830513805120.

The previous prime is 101301303213049. The next prime is 101301303213109. The reversal of 101301303213100 is 1312303103101.

It is a super-2 number, since 2×101301303213100² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101301303213109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72985797 + ... + 74360803.

It is an arithmetic number, because the mean of its divisors is an integer number (3105107232640).

Almost surely, 2^{101301303213100} is an apocalyptic number.

101301303213100 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 101301303213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111783860375040).

101301303213100 is an abundant number, since it is smaller than the sum of its proper divisors (122266417536980).

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

101301303213100 is a wasteful number, since it uses less digits than its factorization.

101301303213100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387567 (or 1387560 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 101301303213100 its reverse (1312303103101), we get a palindrome (102613606316201).

The spelling of 101301303213100 in words is "one hundred one trillion, three hundred one billion, three hundred three million, two hundred thirteen thousand, one hundred".