120100101001 has 16 divisors (see below), whose sum is σ = 122794966800. Its totient is φ = 117444307968.

The previous prime is 120100100971. The next prime is 120100101019. The reversal of 120100101001 is 100101001021.

It can be written as a sum of positive squares in 8 ways, for example, as 13137744400 + 106962356601 = 114620^2 + 327051^2 .

It is a cyclic number.

It is not a de Polignac number, because 120100101001 - 2¹¹ = 120100098953 is a prime.

It is a super-3 number, since 3×120100101001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (120100101041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2560165 + ... + 2606653.

It is an arithmetic number, because the mean of its divisors is an integer number (7674685425).

Almost surely, 2^120100101001 is an apocalyptic number.

It is an amenable number.

120100101001 is a deficient number, since it is larger than the sum of its proper divisors (2694865799).

120100101001 is a wasteful number, since it uses less digits than its factorization.

120100101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46908.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 120100101001 its reverse (100101001021), we get a palindrome (220201102022).

The spelling of 120100101001 in words is "one hundred twenty billion, one hundred million, one hundred one thousand, one".