101221011133200 has 720 divisors, whose sum is σ = 413305243378560. Its totient is φ = 22455804026880.

The previous prime is 101221011133157. The next prime is 101221011133243. The reversal of 101221011133200 is 2331110122101.

101221011133200 is a `hidden beast` number, since 1 + 0 + 1 + 221 + 0 + 111 + 332 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (101221011133157) and next prime (101221011133243).

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 381218887 + ... + 381484313.

It is an arithmetic number, because the mean of its divisors is an integer number (574035060248).

Almost surely, 2^{101221011133200} is an apocalyptic number.

101221011133200 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 101221011133200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206652621689280).

101221011133200 is an abundant number, since it is smaller than the sum of its proper divisors (312084232245360).

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

101221011133200 is a wasteful number, since it uses less digits than its factorization.

101221011133200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265904 (or 265890 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101221011133200 its reverse (2331110122101), we get a palindrome (103552121255301).

The spelling of 101221011133200 in words is "one hundred one trillion, two hundred twenty-one billion, eleven million, one hundred thirty-three thousand, two hundred".