10221101020000 has 240 divisors, whose sum is σ = 27347892585552. Its totient is φ = 3736569600000.

The previous prime is 10221101019991. The next prime is 10221101020021. The reversal of 10221101020000 is 2010112201.

It is a super-2 number, since 2×10221101020000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 26065387 + ... + 26454613.

Almost surely, 2^{10221101020000} is an apocalyptic number.

10221101020000 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 10221101020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13673946292776).

10221101020000 is an abundant number, since it is smaller than the sum of its proper divisors (17126791565552).

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

10221101020000 is a wasteful number, since it uses less digits than its factorization.

10221101020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389371 (or 389348 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10221101020000 its reverse (2010112201), we get a palindrome (10223111132201).

The spelling of 10221101020000 in words is "ten trillion, two hundred twenty-one billion, one hundred one million, twenty thousand".