10221101011300 has 36 divisors (see below), whose sum is σ = 22180093078500. Its totient is φ = 4088384389120.

The previous prime is 10221101011267. The next prime is 10221101011357. The reversal of 10221101011300 is 311010112201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3808648883776 + 6412452127524 = 1951576^2 + 2532282^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7063332 + ... + 8386468.

It is an arithmetic number, because the mean of its divisors is an integer number (616113696625).

Almost surely, 2^{10221101011300} is an apocalyptic number.

10221101011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10221101011300 is an abundant number, since it is smaller than the sum of its proper divisors (11958992067200).

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

10221101011300 is a wasteful number, since it uses less digits than its factorization.

10221101011300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400400 (or 1400393 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 10221101011300 its reverse (311010112201), we get a palindrome (10532111123501).

The spelling of 10221101011300 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, eleven thousand, three hundred".