120201100100021 has 16 divisors (see below), whose sum is σ = 123283520714928. Its totient is φ = 117125894246400.

The previous prime is 120201100100009. The next prime is 120201100100131. The reversal of 120201100100021 is 120001001102021.

It can be written as a sum of positive squares in 8 ways, for example, as 23770939047025 + 96430161052996 = 4875545^2 + 9819886^2 .

It is a cyclic number.

It is not a de Polignac number, because 120201100100021 - 2¹⁰ = 120201100098997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 120201100099975 and 120201100100011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120201100102021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248739191 + ... + 249221963.

It is an arithmetic number, because the mean of its divisors is an integer number (7705220044683).

Almost surely, 2^{120201100100021} is an apocalyptic number.

It is an amenable number.

120201100100021 is a deficient number, since it is larger than the sum of its proper divisors (3082420614907).

120201100100021 is an equidigital number, since it uses as much as digits as its factorization.

120201100100021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490232.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 120201100100021 its reverse (120001001102021), we get a palindrome (240202101202042).

The spelling of 120201100100021 in words is "one hundred twenty trillion, two hundred one billion, one hundred million, one hundred thousand, twenty-one".