100010011100021 has 8 divisors (see below), whose sum is σ = 115519585014144. Its totient is φ = 85570062973120.

The previous prime is 100010011100011. The next prime is 100010011100053. The reversal of 100010011100021 is 120001110010001.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 100010011100021 - 2¹⁴ = 100010011083637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 100010011099981 and 100010011100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011100011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 267406446605 + ... + 267406446978.

It is an arithmetic number, because the mean of its divisors is an integer number (14439948126768).

Almost surely, 2^{100010011100021} is an apocalyptic number.

100010011100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100010011100021 is a deficient number, since it is larger than the sum of its proper divisors (15509573914123).

100010011100021 is a wasteful number, since it uses less digits than its factorization.

100010011100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534812893611.

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 100010011100021 its reverse (120001110010001), we get a palindrome (220011121110022).

It can be divided in two parts, 1000100 and 11100021, that added together give a palindrome (12100121).

The spelling of 100010011100021 in words is "one hundred trillion, ten billion, eleven million, one hundred thousand, twenty-one".