101021122221200 has 120 divisors (see below), whose sum is σ = 246488803081920. Its totient is φ = 39778978060800.

The previous prime is 101021122221161. The next prime is 101021122221209. The reversal of 101021122221200 is 2122221120101.

It is not an unprimeable number, because it can be changed into a prime (101021122221209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39247466 + ... + 41742134.

It is an arithmetic number, because the mean of its divisors is an integer number (2054073359016).

Almost surely, 2^{101021122221200} is an apocalyptic number.

101021122221200 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 101021122221200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123244401540960).

101021122221200 is an abundant number, since it is smaller than the sum of its proper divisors (145467680860720).

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

101021122221200 is a wasteful number, since it uses less digits than its factorization.

101021122221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496265 (or 2496254 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 101021122221200 its reverse (2122221120101), we get a palindrome (103143343341301).

The spelling of 101021122221200 in words is "one hundred one trillion, twenty-one billion, one hundred twenty-two million, two hundred twenty-one thousand, two hundred".