10210212021200 has 120 divisors (see below), whose sum is σ = 24591700592928. Its totient is φ = 4073829245440.

The previous prime is 10210212021187. The next prime is 10210212021209. The reversal of 10210212021200 is 212021201201.

It is a super-3 number, since 3×10210212021200³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210212021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 301231454 + ... + 301265346.

Almost surely, 2^{10210212021200} is an apocalyptic number.

10210212021200 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 10210212021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12295850296464).

10210212021200 is an abundant number, since it is smaller than the sum of its proper divisors (14381488571728).

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

10210212021200 is a wasteful number, since it uses less digits than its factorization.

10210212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35781 (or 35770 counting only the distinct ones).

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

Adding to 10210212021200 its reverse (212021201201), we get a palindrome (10422233222401).

The spelling of 10210212021200 in words is "ten trillion, two hundred ten billion, two hundred twelve million, twenty-one thousand, two hundred".