10101216576 has 448 divisors, whose sum is σ = 31854477312. Its totient is φ = 2795520000.

The previous prime is 10101216571. The next prime is 10101216583. The reversal of 10101216576 is 67561210101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101216571) 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, 142270621 + ... + 142270691.

It is an arithmetic number, because the mean of its divisors is an integer number (71103744).

Almost surely, 2^10101216576 is an apocalyptic number.

10101216576 is a gapful number since it is divisible by the number (16) 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 10101216576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15927238656).

10101216576 is an abundant number, since it is smaller than the sum of its proper divisors (21753260736).

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

10101216576 is a wasteful number, since it uses less digits than its factorization.

10101216576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

Adding to 10101216576 its reverse (67561210101), we get a palindrome (77662426677).

The spelling of 10101216576 in words is "ten billion, one hundred one million, two hundred sixteen thousand, five hundred seventy-six".