100110101002021 has 16 divisors (see below), whose sum is σ = 109516794082560. Its totient is φ = 90754407521280.

The previous prime is 100110101001997. The next prime is 100110101002097. The reversal of 100110101002021 is 120200101011001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100110101002021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100110101001989 and 100110101002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100110101002721) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53404525 + ... + 55247293.

It is an arithmetic number, because the mean of its divisors is an integer number (6844799630160).

Almost surely, 2^{100110101002021} is an apocalyptic number.

100110101002021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100110101002021 is a deficient number, since it is larger than the sum of its proper divisors (9406693080539).

100110101002021 is a wasteful number, since it uses less digits than its factorization.

100110101002021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1856604.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100110101002021 its reverse (120200101011001), we get a palindrome (220310202013022).

The spelling of 100110101002021 in words is "one hundred trillion, one hundred ten billion, one hundred one million, two thousand, twenty-one".