101015200000 has 432 divisors, whose sum is σ = 296424902592. Its totient is φ = 33868800000.

The previous prime is 101015199997. The next prime is 101015200001. The reversal of 101015200000 is 2510101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 101015200000.

It is not an unprimeable number, because it can be changed into a prime (101015200001) 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, 114399559 + ... + 114400441.

It is an arithmetic number, because the mean of its divisors is an integer number (686168756).

Almost surely, 2^101015200000 is an apocalyptic number.

101015200000 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 101015200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148212451296).

101015200000 is an abundant number, since it is smaller than the sum of its proper divisors (195409702592).

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

101015200000 is an frugal number, since it uses more digits than its factorization.

101015200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 948 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 10.

Adding to 101015200000 its reverse (2510101), we get a palindrome (101017710101).

The spelling of 101015200000 in words is "one hundred one billion, fifteen million, two hundred thousand".