10100120111021 has 8 divisors (see below), whose sum is σ = 10735856675640. Its totient is φ = 9469007085568.

The previous prime is 10100120110967. The next prime is 10100120111033. The reversal of 10100120111021 is 12011102100101.

It can be written as a sum of positive squares in 4 ways, for example, as 2277548814025 + 7822571296996 = 1509155^2 + 2796886^2 .

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 10100120111021 - 2¹⁴ = 10100120094637 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100120110993 and 10100120111011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100120111071) 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 7 ways as a sum of consecutive naturals, for example, 1155880286 + ... + 1155889023.

It is an arithmetic number, because the mean of its divisors is an integer number (1341982084455).

Almost surely, 2^{10100120111021} is an apocalyptic number.

It is an amenable number.

10100120111021 is a deficient number, since it is larger than the sum of its proper divisors (635736564619).

10100120111021 is a wasteful number, since it uses less digits than its factorization.

10100120111021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2311769583.

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

Adding to 10100120111021 its reverse (12011102100101), we get a palindrome (22111222211122).

The spelling of 10100120111021 in words is "ten trillion, one hundred billion, one hundred twenty million, one hundred eleven thousand, twenty-one".