101214310200 has 192 divisors, whose sum is σ = 322099622400. Its totient is φ = 26282880000.

The previous prime is 101214310193. The next prime is 101214310217. The reversal of 101214310200 is 2013412101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101214310200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3445575 + ... + 3474825.

It is an arithmetic number, because the mean of its divisors is an integer number (1677602200).

Almost surely, 2^101214310200 is an apocalyptic number.

101214310200 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 101214310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161049811200).

101214310200 is an abundant number, since it is smaller than the sum of its proper divisors (220885312200).

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

101214310200 is a wasteful number, since it uses less digits than its factorization.

101214310200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29422 (or 29413 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101214310200 its reverse (2013412101), we get a palindrome (103227722301).

The spelling of 101214310200 in words is "one hundred one billion, two hundred fourteen million, three hundred ten thousand, two hundred".