10067072022150 has 384 divisors, whose sum is σ = 29547628830720. Its totient is φ = 2236175424000.

The previous prime is 10067072022127. The next prime is 10067072022151. The reversal of 10067072022150 is 5122027076001.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10067072022151) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4304005681 + ... + 4304008019.

It is an arithmetic number, because the mean of its divisors is an integer number (76946950080).

Almost surely, 2^{10067072022150} is an apocalyptic number.

10067072022150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10067072022150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14773814415360).

10067072022150 is an abundant number, since it is smaller than the sum of its proper divisors (19480556808570).

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

10067072022150 is a wasteful number, since it uses less digits than its factorization.

10067072022150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3767 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

Adding to 10067072022150 its reverse (5122027076001), we get a palindrome (15189099098151).

The spelling of 10067072022150 in words is "ten trillion, sixty-seven billion, seventy-two million, twenty-two thousand, one hundred fifty".