10221434420292 has 24 divisors (see below), whose sum is σ = 26500015164000. Its totient is φ = 3407144806728.

The previous prime is 10221434420291. The next prime is 10221434420359. The reversal of 10221434420292 is 29202443412201.

10221434420292 is a `hidden beast` number, since 1 + 0 + 2 + 2 + 1 + 4 + 344 + 20 + 292 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10221434420291) 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, 47321455542 + ... + 47321455757.

It is an arithmetic number, because the mean of its divisors is an integer number (1104167298500).

Almost surely, 2^{10221434420292} is an apocalyptic number.

10221434420292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10221434420292 is an abundant number, since it is smaller than the sum of its proper divisors (16278580743708).

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

10221434420292 is a wasteful number, since it uses less digits than its factorization.

10221434420292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94642911312 (or 94642911304 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 10221434420292 its reverse (29202443412201), we get a palindrome (39423877832493).

The spelling of 10221434420292 in words is "ten trillion, two hundred twenty-one billion, four hundred thirty-four million, four hundred twenty thousand, two hundred ninety-two".