100120141021001 has 8 divisors (see below), whose sum is σ = 100270018458120. Its totient is φ = 99970266880512.

The previous prime is 100120141020997. The next prime is 100120141021079.

100120141021001 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 19893205632400 + 80226935388601 = 4460180^2 + 8956949^2 .

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 100120141021001 - 2² = 100120141020997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100120141021801) 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, 63743951 + ... + 65295723.

It is an arithmetic number, because the mean of its divisors is an integer number (12533752307265).

Almost surely, 2^{100120141021001} is an apocalyptic number.

It is an amenable number.

100120141021001 is a deficient number, since it is larger than the sum of its proper divisors (149877437119).

100120141021001 is an equidigital number, since it uses as much as digits as its factorization.

100120141021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648315.

The product of its (nonzero) digits is 16, while the sum is 14.

The spelling of 100120141021001 in words is "one hundred trillion, one hundred twenty billion, one hundred forty-one million, twenty-one thousand, one".