10120120210200 has 1536 divisors, whose sum is σ = 45285101568000. Its totient is φ = 1799735500800.

The previous prime is 10120120210171. The next prime is 10120120210201. The reversal of 10120120210200 is 201202102101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120120210201) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 536326366 + ... + 536345234.

It is an arithmetic number, because the mean of its divisors is an integer number (29482488000).

Almost surely, 2^{10120120210200} is an apocalyptic number.

10120120210200 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 10120120210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22642550784000).

10120120210200 is an abundant number, since it is smaller than the sum of its proper divisors (35164981357800).

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

10120120210200 is a wasteful number, since it uses less digits than its factorization.

10120120210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18985 (or 18976 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10120120210200 its reverse (201202102101), we get a palindrome (10321322312301).

The spelling of 10120120210200 in words is "ten trillion, one hundred twenty billion, one hundred twenty million, two hundred ten thousand, two hundred".