10201111100202 has 128 divisors (see below), whose sum is σ = 23595117170688. Its totient is φ = 2910030464000.

The previous prime is 10201111100183. The next prime is 10201111100221. The reversal of 10201111100202 is 20200111110201.

It is an interprime number because it is at equal distance from previous prime (10201111100183) and next prime (10201111100221).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25404898 + ... + 25803314.

It is an arithmetic number, because the mean of its divisors is an integer number (184336852896).

Almost surely, 2^{10201111100202} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10201111100202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11797558585344).

10201111100202 is an abundant number, since it is smaller than the sum of its proper divisors (13394006070486).

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

10201111100202 is a wasteful number, since it uses less digits than its factorization.

10201111100202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398724.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201111100202 its reverse (20200111110201), we get a palindrome (30401222210403).

Subtracting 10201111100202 from its reverse (20200111110201), we obtain a palindrome (9999000009999).

The spelling of 10201111100202 in words is "ten trillion, two hundred one billion, one hundred eleven million, one hundred thousand, two hundred two".