10212112020200 has 192 divisors, whose sum is σ = 24754884336000. Its totient is φ = 3913036323840.

The previous prime is 10212112020169. The next prime is 10212112020241. The reversal of 10212112020200 is 202021121201.

It is a super-2 number, since 2×10212112020200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1609978229 + ... + 1609984571.

It is an arithmetic number, because the mean of its divisors is an integer number (128931689250).

Almost surely, 2^{10212112020200} is an apocalyptic number.

10212112020200 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 10212112020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12377442168000).

10212112020200 is an abundant number, since it is smaller than the sum of its proper divisors (14542772315800).

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

10212112020200 is a wasteful number, since it uses less digits than its factorization.

10212112020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10212112020200 its reverse (202021121201), we get a palindrome (10414133141401).

The spelling of 10212112020200 in words is "ten trillion, two hundred twelve billion, one hundred twelve million, twenty thousand, two hundred".