100120021001101 has 4 divisors (see below), whose sum is σ = 100120057179804. Its totient is φ = 100119984822400.

The previous prime is 100120021000897. The next prime is 100120021001183. The reversal of 100120021001101 is 101100120021001.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 57185734515625 + 42934286485476 = 7562125^2 + 6552426^2 .

It is a cyclic number.

It is not a de Polignac number, because 100120021001101 - 2³⁵ = 100085661262733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100120021001191) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13560310 + ... + 19599031.

It is an arithmetic number, because the mean of its divisors is an integer number (25030014294951).

Almost surely, 2^{100120021001101} is an apocalyptic number.

It is an amenable number.

100120021001101 is a deficient number, since it is larger than the sum of its proper divisors (36178703).

100120021001101 is an equidigital number, since it uses as much as digits as its factorization.

100120021001101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36178702.

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

Adding to 100120021001101 its reverse (101100120021001), we get a palindrome (201220141022102).

It can be divided in two parts, 100120021001 and 101, that multiplied together give a palindrome (10112122121101).

The spelling of 100120021001101 in words is "one hundred trillion, one hundred twenty billion, twenty-one million, one thousand, one hundred one".