101345200000 has 384 divisors, whose sum is σ = 284561786880. Its totient is φ = 35616000000.

The previous prime is 101345199947. The next prime is 101345200009. The reversal of 101345200000 is 2543101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101345200009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136399629 + ... + 136400371.

It is an arithmetic number, because the mean of its divisors is an integer number (741046320).

Almost surely, 2^101345200000 is an apocalyptic number.

101345200000 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 101345200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142280893440).

101345200000 is an abundant number, since it is smaller than the sum of its proper divisors (183216586880).

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

101345200000 is an frugal number, since it uses more digits than its factorization.

101345200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

Adding to 101345200000 its reverse (2543101), we get a palindrome (101347743101).

The spelling of 101345200000 in words is "one hundred one billion, three hundred forty-five million, two hundred thousand".