10102120200 has 192 divisors, whose sum is σ = 34849108800. Its totient is φ = 2689804800.

The previous prime is 10102120199. The next prime is 10102120201. The reversal of 10102120200 is 202120101.

It is an interprime number because it is at equal distance from previous prime (10102120199) and next prime (10102120201).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10102120201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5577295 + ... + 5579105.

It is an arithmetic number, because the mean of its divisors is an integer number (181505775).

Almost surely, 2^10102120200 is an apocalyptic number.

10102120200 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 10102120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17424554400).

10102120200 is an abundant number, since it is smaller than the sum of its proper divisors (24746988600).

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

10102120200 is a wasteful number, since it uses less digits than its factorization.

10102120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2854 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102120200 its reverse (202120101), we get a palindrome (10304240301).

Subtracting from 10102120200 its reverse (202120101), we obtain a palindrome (9900000099).

The spelling of 10102120200 in words is "ten billion, one hundred two million, one hundred twenty thousand, two hundred".