10100221131 has 64 divisors (see below), whose sum is σ = 18203673600. Its totient is φ = 4810544640.

The previous prime is 10100221121. The next prime is 10100221211. The reversal of 10100221131 is 13112200101.

10100221131 = 11415² + 11416² + ... + 11491².

It is not a de Polignac number, because 10100221131 - 2⁷ = 10100221003 is a prime.

It is a super-2 number, since 2×10100221131² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10100221121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 436161 + ... + 458733.

It is an arithmetic number, because the mean of its divisors is an integer number (284432400).

Almost surely, 2^10100221131 is an apocalyptic number.

10100221131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

10100221131 is a deficient number, since it is larger than the sum of its proper divisors (8103452469).

10100221131 is a wasteful number, since it uses less digits than its factorization.

10100221131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22756.

The product of its (nonzero) digits is 12, while the sum is 12.

Adding to 10100221131 its reverse (13112200101), we get a palindrome (23212421232).

The spelling of 10100221131 in words is "ten billion, one hundred million, two hundred twenty-one thousand, one hundred thirty-one".