101215261200 has 240 divisors, whose sum is σ = 333594559296. Its totient is φ = 26213529600.

The previous prime is 101215261117. The next prime is 101215261211. The reversal of 101215261200 is 2162512101.

It is a tau number, because it is divible by the number of its divisors (240).

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, 28991455 + ... + 28994945.

Almost surely, 2^101215261200 is an apocalyptic number.

101215261200 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 101215261200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166797279648).

101215261200 is an abundant number, since it is smaller than the sum of its proper divisors (232379298096).

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

101215261200 is a wasteful number, since it uses less digits than its factorization.

101215261200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4202 (or 4191 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

Adding to 101215261200 its reverse (2162512101), we get a palindrome (103377773301).

The spelling of 101215261200 in words is "one hundred one billion, two hundred fifteen million, two hundred sixty-one thousand, two hundred".