11210101202172 has 192 divisors, whose sum is σ = 29040129699840. Its totient is φ = 3355459430400.

The previous prime is 11210101202101. The next prime is 11210101202173. The reversal of 11210101202172 is 27120210101211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11210101202173) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29445498 + ... + 29823774.

It is an arithmetic number, because the mean of its divisors is an integer number (151250675520).

Almost surely, 2^{11210101202172} is an apocalyptic number.

11210101202172 is a gapful number since it is divisible by the number (12) 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 11210101202172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14520064849920).

11210101202172 is an abundant number, since it is smaller than the sum of its proper divisors (17830028497668).

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

11210101202172 is a wasteful number, since it uses less digits than its factorization.

11210101202172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378452 (or 378450 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

Adding to 11210101202172 its reverse (27120210101211), we get a palindrome (38330311303383).

The spelling of 11210101202172 in words is "eleven trillion, two hundred ten billion, one hundred one million, two hundred two thousand, one hundred seventy-two".