10202220210000 has 400 divisors, whose sum is σ = 40534321165184. Its totient is φ = 2152555776000.

The previous prime is 10202220209983. The next prime is 10202220210107. The reversal of 10202220210000 is 1202220201.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 861462 + ... + 4598538.

Almost surely, 2^{10202220210000} is an apocalyptic number.

10202220210000 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 10202220210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20267160582592).

10202220210000 is an abundant number, since it is smaller than the sum of its proper divisors (30332100955184).

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

10202220210000 is a wasteful number, since it uses less digits than its factorization.

10202220210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3737128 (or 3737107 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 10202220210000 its reverse (1202220201), we get a palindrome (10203422430201).

The spelling of 10202220210000 in words is "ten trillion, two hundred two billion, two hundred twenty million, two hundred ten thousand".