10211102272 has 56 divisors (see below), whose sum is σ = 23243682240. Its totient is φ = 4359866880.

The previous prime is 10211102267. The next prime is 10211102273. The reversal of 10211102272 is 27220111201.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (10211102273) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78147 + ... + 162877.

Almost surely, 2^10211102272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211102272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11621841120).

10211102272 is an abundant number, since it is smaller than the sum of its proper divisors (13032579968).

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

10211102272 is an equidigital number, since it uses as much as digits as its factorization.

10211102272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85019 (or 85009 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 19.

Adding to 10211102272 its reverse (27220111201), we get a palindrome (37431213473).

The spelling of 10211102272 in words is "ten billion, two hundred eleven million, one hundred two thousand, two hundred seventy-two".