10021210022000 has 80 divisors (see below), whose sum is σ = 24240178216800. Its totient is φ = 4007012979200.

The previous prime is 10021210021987. The next prime is 10021210022027. The reversal of 10021210022000 is 22001212001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×10021210022000³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4539971 + ... + 6376029.

It is an arithmetic number, because the mean of its divisors is an integer number (303002227710).

Almost surely, 2^{10021210022000} is an apocalyptic number.

10021210022000 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 10021210022000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12120089108400).

10021210022000 is an abundant number, since it is smaller than the sum of its proper divisors (14218968194800).

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

10021210022000 is a wasteful number, since it uses less digits than its factorization.

10021210022000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838811 (or 1838795 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10021210022000 its reverse (22001212001), we get a palindrome (10043211234001).

The spelling of 10021210022000 in words is "ten trillion, twenty-one billion, two hundred ten million, twenty-two thousand".