100111012100021 has 8 divisors (see below), whose sum is σ = 110105728529664. Its totient is φ = 90443991291120.

The previous prime is 100111012100009. The next prime is 100111012100107. The reversal of 100111012100021 is 120001210111001.

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

It is a cyclic number.

It is not a de Polignac number, because 100111012100021 - 2⁶ = 100111012099957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100111012099975 and 100111012100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100111012160021) 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, 81923904545 + ... + 81923905766.

It is an arithmetic number, because the mean of its divisors is an integer number (13763216066208).

Almost surely, 2^{100111012100021} is an apocalyptic number.

It is an amenable number.

100111012100021 is a deficient number, since it is larger than the sum of its proper divisors (9994716429643).

100111012100021 is a wasteful number, since it uses less digits than its factorization.

100111012100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163847810371.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 100111012100021 its reverse (120001210111001), we get a palindrome (220112222211022).

The spelling of 100111012100021 in words is "one hundred trillion, one hundred eleven billion, twelve million, one hundred thousand, twenty-one".