101201000310 has 24 divisors (see below), whose sum is σ = 263122601040. Its totient is φ = 26986933392.

The previous prime is 101201000273. The next prime is 101201000317. The reversal of 101201000310 is 13000102101.

101201000310 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101201000310² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101201000292 and 101201000301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101201000317) 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 11 ways as a sum of consecutive naturals, for example, 562227690 + ... + 562227869.

It is an arithmetic number, because the mean of its divisors is an integer number (10963441710).

Almost surely, 2^101201000310 is an apocalyptic number.

101201000310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201000310 is an abundant number, since it is smaller than the sum of its proper divisors (161921600730).

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

101201000310 is a wasteful number, since it uses less digits than its factorization.

101201000310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1124455572 (or 1124455569 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101201000310 its reverse (13000102101), we get a palindrome (114201102411).

The spelling of 101201000310 in words is "one hundred one billion, two hundred one million, three hundred ten", and thus it is an aban number.