100211022032231 has 16 divisors (see below), whose sum is σ = 109976799582720. Its totient is φ = 90554535845280.

The previous prime is 100211022032213. The next prime is 100211022032267. The reversal of 100211022032231 is 132230220112001.

It is a cyclic number.

It is not a de Polignac number, because 100211022032231 - 2³⁰ = 100209948290407 is a prime.

It is a super-2 number, since 2×100211022032231² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211022031231) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 257292185 + ... + 257681373.

It is an arithmetic number, because the mean of its divisors is an integer number (6873549973920).

Almost surely, 2^{100211022032231} is an apocalyptic number.

100211022032231 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211022032231 is a deficient number, since it is larger than the sum of its proper divisors (9765777550489).

100211022032231 is a wasteful number, since it uses less digits than its factorization.

100211022032231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529534.

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100211022032231 its reverse (132230220112001), we get a palindrome (232441242144232).

The spelling of 100211022032231 in words is "one hundred trillion, two hundred eleven billion, twenty-two million, thirty-two thousand, two hundred thirty-one".