10101201200 has 120 divisors (see below), whose sum is σ = 25477416960. Its totient is φ = 3843590400.

The previous prime is 10101201191. The next prime is 10101201223. The reversal of 10101201200 is 210210101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 724697 + ... + 738503.

It is an arithmetic number, because the mean of its divisors is an integer number (212311808).

Almost surely, 2^10101201200 is an apocalyptic number.

10101201200 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 10101201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738708480).

10101201200 is an abundant number, since it is smaller than the sum of its proper divisors (15376215760).

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

10101201200 is a wasteful number, since it uses less digits than its factorization.

10101201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13904 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101201200 its reverse (210210101), we get a palindrome (10311411301).

The spelling of 10101201200 in words is "ten billion, one hundred one million, two hundred one thousand, two hundred".