100120121001021 has 16 divisors (see below), whose sum is σ = 154195694376768. Its totient is φ = 57109516435200.

The previous prime is 100120121000993. The next prime is 100120121001029. The reversal of 100120121001021 is 120100121021001.

It is not a de Polignac number, because 100120121001021 - 2³³ = 100111531066429 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100120121000988 and 100120121001006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120121001029) 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 15 ways as a sum of consecutive naturals, for example, 89233618870 + ... + 89233619991.

It is an arithmetic number, because the mean of its divisors is an integer number (9637230898548).

Almost surely, 2^{100120121001021} is an apocalyptic number.

100120121001021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100120121001021 is a deficient number, since it is larger than the sum of its proper divisors (54075573375747).

100120121001021 is a wasteful number, since it uses less digits than its factorization.

100120121001021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178467238892.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100120121001021 its reverse (120100121021001), we get a palindrome (220220242022022).

The spelling of 100120121001021 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-one million, one thousand, twenty-one".