120100121201020 has 96 divisors (see below), whose sum is σ = 269301600348480. Its totient is φ = 44858096732160.

The previous prime is 120100121201017. The next prime is 120100121201023. The reversal of 120100121201020 is 20102121001021.

It is an interprime number because it is at equal distance from previous prime (120100121201017) and next prime (120100121201023).

It is a super-2 number, since 2×120100121201020² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120100121201023) 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 31 ways as a sum of consecutive naturals, for example, 39965890 + ... + 42865750.

It is an arithmetic number, because the mean of its divisors is an integer number (2805225003630).

Almost surely, 2^{120100121201020} is an apocalyptic number.

120100121201020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120100121201020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134650800174240).

120100121201020 is an abundant number, since it is smaller than the sum of its proper divisors (149201479147460).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120100121201020 is a wasteful number, since it uses less digits than its factorization.

120100121201020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901455 (or 2901453 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 120100121201020 its reverse (20102121001021), we get a palindrome (140202242202041).

The spelling of 120100121201020 in words is "one hundred twenty trillion, one hundred billion, one hundred twenty-one million, two hundred one thousand, twenty".