120120100100001 has 48 divisors (see below), whose sum is σ = 183074538104640. Its totient is φ = 75684333035520.

The previous prime is 120120100099999. The next prime is 120120100100003. The reversal of 120120100100001 is 100001001021021.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (120120100099999) and next prime (120120100100003).

It is not a de Polignac number, because 120120100100001 - 2¹ = 120120100099999 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (120120100100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100742721 + ... + 1100851841.

It is an arithmetic number, because the mean of its divisors is an integer number (3814052877180).

Almost surely, 2^{120120100100001} is an apocalyptic number.

It is an amenable number.

120120100100001 is a deficient number, since it is larger than the sum of its proper divisors (62954438004639).

120120100100001 is a wasteful number, since it uses less digits than its factorization.

120120100100001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124446 (or 124443 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120120100100001 its reverse (100001001021021), we get a palindrome (220121101121022).

It can be divided in two parts, 120120 and 100100001, that added together give a square (100220121 = 10011²).

The spelling of 120120100100001 in words is "one hundred twenty trillion, one hundred twenty billion, one hundred million, one hundred thousand, one".