101022063450 has 192 divisors, whose sum is σ = 315451238400. Its totient is φ = 20783520000.

The previous prime is 101022063413. The next prime is 101022063451. The reversal of 101022063450 is 54360220101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 101022063450.

It is not an unprimeable number, because it can be changed into a prime (101022063451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1123251 + ... + 1209849.

It is an arithmetic number, because the mean of its divisors is an integer number (1642975200).

Almost surely, 2^101022063450 is an apocalyptic number.

101022063450 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 101022063450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157725619200).

101022063450 is an abundant number, since it is smaller than the sum of its proper divisors (214429174950).

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

101022063450 is a wasteful number, since it uses less digits than its factorization.

101022063450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86733 (or 86728 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 101022063450 its reverse (54360220101), we get a palindrome (155382283551).

The spelling of 101022063450 in words is "one hundred one billion, twenty-two million, sixty-three thousand, four hundred fifty".