101200112310 has 128 divisors (see below), whose sum is σ = 268554216960. Its totient is φ = 24202368000.

The previous prime is 101200112303. The next prime is 101200112317. The reversal of 101200112310 is 13211002101.

It is an interprime number because it is at equal distance from previous prime (101200112303) and next prime (101200112317).

It is a super-2 number, since 2×101200112310² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101200112317) 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, 9427026 + ... + 9437754.

It is an arithmetic number, because the mean of its divisors is an integer number (2098079820).

Almost surely, 2^101200112310 is an apocalyptic number.

101200112310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101200112310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134277108480).

101200112310 is an abundant number, since it is smaller than the sum of its proper divisors (167354104650).

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

101200112310 is a wasteful number, since it uses less digits than its factorization.

101200112310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 101200112310 its reverse (13211002101), we get a palindrome (114411114411).

The spelling of 101200112310 in words is "one hundred one billion, two hundred million, one hundred twelve thousand, three hundred ten".