100211022131 has 8 divisors (see below), whose sum is σ = 109325278128. Its totient is φ = 91097460000.

The previous prime is 100211022083. The next prime is 100211022133. The reversal of 100211022131 is 131220112001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100211022131 - 2¹⁴ = 100211005747 is a prime.

It is a super-2 number, since 2×100211022131² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100211022133) 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 7 ways as a sum of consecutive naturals, for example, 155681 + ... + 473981.

It is an arithmetic number, because the mean of its divisors is an integer number (13665659766).

Almost surely, 2^100211022131 is an apocalyptic number.

100211022131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100211022131 is a deficient number, since it is larger than the sum of its proper divisors (9114255997).

100211022131 is a wasteful number, since it uses less digits than its factorization.

100211022131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346933.

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 100211022131 its reverse (131220112001), we get a palindrome (231431134132).

The spelling of 100211022131 in words is "one hundred billion, two hundred eleven million, twenty-two thousand, one hundred thirty-one".