10021101200000 has 384 divisors, whose sum is σ = 27374346679680. Its totient is φ = 3623616000000.

The previous prime is 10021101199981. The next prime is 10021101200051. The reversal of 10021101200000 is 210112001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 796393709 + ... + 796406291.

It is an arithmetic number, because the mean of its divisors is an integer number (71287361145).

Almost surely, 2^{10021101200000} is an apocalyptic number.

10021101200000 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 10021101200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13687173339840).

10021101200000 is an abundant number, since it is smaller than the sum of its proper divisors (17353245479680).

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

10021101200000 is an equidigital number, since it uses as much as digits as its factorization.

10021101200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12814 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10021101200000 its reverse (210112001), we get a palindrome (10021311312001).

The spelling of 10021101200000 in words is "ten trillion, twenty-one billion, one hundred one million, two hundred thousand".