10022271948 has 72 divisors (see below), whose sum is σ = 27425938176. Its totient is φ = 3067603200.

The previous prime is 10022271947. The next prime is 10022271949. The reversal of 10022271948 is 84917222001.

It is an interprime number because it is at equal distance from previous prime (10022271947) and next prime (10022271949).

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 (10022271947) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33328 + ... + 145448.

It is an arithmetic number, because the mean of its divisors is an integer number (380915808).

Almost surely, 2^10022271948 is an apocalyptic number.

10022271948 is a gapful number since it is divisible by the number (18) 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 10022271948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13712969088).

10022271948 is an abundant number, since it is smaller than the sum of its proper divisors (17403666228).

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

10022271948 is a wasteful number, since it uses less digits than its factorization.

10022271948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112335 (or 112330 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

Adding to 10022271948 its reverse (84917222001), we get a palindrome (94939493949).

The spelling of 10022271948 in words is "ten billion, twenty-two million, two hundred seventy-one thousand, nine hundred forty-eight".