10201200203100 has 144 divisors (see below), whose sum is σ = 29993700280320. Its totient is φ = 2676403833600.

The previous prime is 10201200203081. The next prime is 10201200203107. The reversal of 10201200203100 is 130200210201.

It is a super-2 number, since 2×10201200203100² (a number of 27 digits) contains 22 as substring.

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 (10201200203107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9702774 + ... + 10702626.

It is an arithmetic number, because the mean of its divisors is an integer number (208289585280).

Almost surely, 2^{10201200203100} is an apocalyptic number.

10201200203100 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 10201200203100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996850140160).

10201200203100 is an abundant number, since it is smaller than the sum of its proper divisors (19792500077220).

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

10201200203100 is a wasteful number, since it uses less digits than its factorization.

10201200203100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1000420 (or 1000413 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10201200203100 its reverse (130200210201), we get a palindrome (10331400413301).

The spelling of 10201200203100 in words is "ten trillion, two hundred one billion, two hundred million, two hundred three thousand, one hundred".