10221158613432 has 256 divisors, whose sum is σ = 29126374502400. Its totient is φ = 2965394995200.

The previous prime is 10221158613431. The next prime is 10221158613451. The reversal of 10221158613432 is 23431685112201.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10221158613431) 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, 165942913 + ... + 166004495.

It is an arithmetic number, because the mean of its divisors is an integer number (113774900400).

Almost surely, 2^{10221158613432} is an apocalyptic number.

10221158613432 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 10221158613432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14563187251200).

10221158613432 is an abundant number, since it is smaller than the sum of its proper divisors (18905215888968).

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

10221158613432 is a wasteful number, since it uses less digits than its factorization.

10221158613432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61958 (or 61954 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 10221158613432 in words is "ten trillion, two hundred twenty-one billion, one hundred fifty-eight million, six hundred thirteen thousand, four hundred thirty-two".