10102020222000 has 800 divisors, whose sum is σ = 38106366465024. Its totient is φ = 2302259904000.

The previous prime is 10102020221927. The next prime is 10102020222001. The reversal of 10102020222000 is 22202020101.

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

It is not an unprimeable number, because it can be changed into a prime (10102020222001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6208985187 + ... + 6208986813.

Almost surely, 2^{10102020222000} is an apocalyptic number.

10102020222000 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 10102020222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19053183232512).

10102020222000 is an abundant number, since it is smaller than the sum of its proper divisors (28004346243024).

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

10102020222000 is an equidigital number, since it uses as much as digits as its factorization.

10102020222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2112 (or 2075 counting only the distinct ones).

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

Adding to 10102020222000 its reverse (22202020101), we get a palindrome (10124222242101).

The spelling of 10102020222000 in words is "ten trillion, one hundred two billion, twenty million, two hundred twenty-two thousand".