100022112010321 has 32 divisors (see below), whose sum is σ = 102916971970560. Its totient is φ = 97154575870464.

The previous prime is 100022112010291. The next prime is 100022112010349. The reversal of 100022112010321 is 123010211220001.

It is not a de Polignac number, because 100022112010321 - 2²⁷ = 100021977792593 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100022112010295 and 100022112010304.

It is not an unprimeable number, because it can be changed into a prime (100022112010351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19410459681 + ... + 19410464833.

It is an arithmetic number, because the mean of its divisors is an integer number (3216155374080).

Almost surely, 2^{100022112010321} is an apocalyptic number.

It is an amenable number.

100022112010321 is a deficient number, since it is larger than the sum of its proper divisors (2894859960239).

100022112010321 is a wasteful number, since it uses less digits than its factorization.

100022112010321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8125.

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 100022112010321 its reverse (123010211220001), we get a palindrome (223032323230322).

The spelling of 100022112010321 in words is "one hundred trillion, twenty-two billion, one hundred twelve million, ten thousand, three hundred twenty-one".