120100201122020 has 144 divisors (see below), whose sum is σ = 306223618200192. Its totient is φ = 38751169966080.

The previous prime is 120100201122001. The next prime is 120100201122091. The reversal of 120100201122020 is 20221102001021.

It is a super-3 number, since 3×120100201122020³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 120100201121986 and 120100201122004.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 421734080 + ... + 422018760.

It is an arithmetic number, because the mean of its divisors is an integer number (2126552904168).

Almost surely, 2^{120100201122020} is an apocalyptic number.

120100201122020 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 120100201122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153111809100096).

120100201122020 is an abundant number, since it is smaller than the sum of its proper divisors (186123417078172).

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

120100201122020 is a wasteful number, since it uses less digits than its factorization.

120100201122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295158 (or 295139 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 120100201122020 its reverse (20221102001021), we get a palindrome (140321303123041).

The spelling of 120100201122020 in words is "one hundred twenty trillion, one hundred billion, two hundred one million, one hundred twenty-two thousand, twenty".