100010111222021 has 128 divisors (see below), whose sum is σ = 137982674092032. Its totient is φ = 69966167040000.

The previous prime is 100010111221939. The next prime is 100010111222039. The reversal of 100010111222021 is 120222111010001.

It is a de Polignac number, because none of the positive numbers 2^k-100010111222021 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100010111221987 and 100010111222005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010111222221) 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 127 ways as a sum of consecutive naturals, for example, 10649565236 + ... + 10649574626.

It is an arithmetic number, because the mean of its divisors is an integer number (1077989641344).

Almost surely, 2^{100010111222021} is an apocalyptic number.

100010111222021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010111222021 is a deficient number, since it is larger than the sum of its proper divisors (37972562870011).

100010111222021 is a wasteful number, since it uses less digits than its factorization.

100010111222021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10483.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 100010111222021 its reverse (120222111010001), we get a palindrome (220232222232022).

The spelling of 100010111222021 in words is "one hundred trillion, ten billion, one hundred eleven million, two hundred twenty-two thousand, twenty-one".