100210131021 has 96 divisors (see below), whose sum is σ = 181063620864. Its totient is φ = 47971123200.

The previous prime is 100210130957. The next prime is 100210131139. The reversal of 100210131021 is 120131012001.

It is not a de Polignac number, because 100210131021 - 2⁶ = 100210130957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210130988 and 100210131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210131821) 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, 22361101 + ... + 22365581.

It is an arithmetic number, because the mean of its divisors is an integer number (1886079384).

Almost surely, 2^100210131021 is an apocalyptic number.

100210131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210131021 is a deficient number, since it is larger than the sum of its proper divisors (80853489843).

100210131021 is a wasteful number, since it uses less digits than its factorization.

100210131021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5203 (or 5192 counting only the distinct ones).

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

Adding to 100210131021 its reverse (120131012001), we get a palindrome (220341143022).

The spelling of 100210131021 in words is "one hundred billion, two hundred ten million, one hundred thirty-one thousand, twenty-one".