100210011021 has 12 divisors (see below), whose sum is σ = 146730641148. Its totient is φ = 65891513664.

The previous prime is 100210011001. The next prime is 100210011043. The reversal of 100210011021 is 120110012001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 72717054921 + 27492956100 = 269661^2 + 165810^2 .

It is not a de Polignac number, because 100210011021 - 2¹⁷ = 100209879949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100210010994 and 100210011012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100210011001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76262670 + ... + 76263983.

It is an arithmetic number, because the mean of its divisors is an integer number (12227553429).

Almost surely, 2^100210011021 is an apocalyptic number.

It is an amenable number.

100210011021 is a deficient number, since it is larger than the sum of its proper divisors (46520630127).

100210011021 is a wasteful number, since it uses less digits than its factorization.

100210011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152526732 (or 152526729 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100210011021 its reverse (120110012001), we get a palindrome (220320023022).

The spelling of 100210011021 in words is "one hundred billion, two hundred ten million, eleven thousand, twenty-one".