10202020212000 has 1152 divisors, whose sum is σ = 37331162668800. Its totient is φ = 2433366835200.

The previous prime is 10202020211987. The next prime is 10202020212049. The reversal of 10202020212000 is 21202020201.

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 191 ways as a sum of consecutive naturals, for example, 237256283979 + ... + 237256284021.

It is an arithmetic number, because the mean of its divisors is an integer number (32405523150).

Almost surely, 2^{10202020212000} is an apocalyptic number.

10202020212000 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 10202020212000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18665581334400).

10202020212000 is an abundant number, since it is smaller than the sum of its proper divisors (27129142456800).

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

10202020212000 is an frugal number, since it uses more digits than its factorization.

10202020212000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 107 counting only the distinct ones).

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

Adding to 10202020212000 its reverse (21202020201), we get a palindrome (10223222232201).

The spelling of 10202020212000 in words is "ten trillion, two hundred two billion, twenty million, two hundred twelve thousand".