2215101967200 has 144 divisors (see below), whose sum is σ = 8011285526160. Its totient is φ = 590693852160.

The previous prime is 2215101967147. The next prime is 2215101967217. The reversal of 2215101967200 is 27691015122.

2215101967200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51253909 + ... + 51297108.

It is an arithmetic number, because the mean of its divisors is an integer number (55633927265).

Almost surely, 2^{2215101967200} is an apocalyptic number.

2215101967200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2215101967200 is an abundant number, since it is smaller than the sum of its proper divisors (5796183558960).

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

2215101967200 is a wasteful number, since it uses less digits than its factorization.

2215101967200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102551046 (or 102551027 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 2215101967200 in words is "two trillion, two hundred fifteen billion, one hundred one million, nine hundred sixty-seven thousand, two hundred".