10221772461 has 32 divisors (see below), whose sum is σ = 14645030400. Its totient is φ = 6319088640.

The previous prime is 10221772441. The next prime is 10221772489. The reversal of 10221772461 is 16427712201.

10221772461 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10221772461 - 2⁶ = 10221772397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221772411) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001100 + ... + 1011258.

It is an arithmetic number, because the mean of its divisors is an integer number (457657200).

Almost surely, 2^10221772461 is an apocalyptic number.

It is an amenable number.

10221772461 is a deficient number, since it is larger than the sum of its proper divisors (4423257939).

10221772461 is a wasteful number, since it uses less digits than its factorization.

10221772461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10469.

The product of its (nonzero) digits is 9408, while the sum is 33.

The spelling of 10221772461 in words is "ten billion, two hundred twenty-one million, seven hundred seventy-two thousand, four hundred sixty-one".