120101202133020 has 576 divisors, whose sum is σ = 390695042739456. Its totient is φ = 29758521999360.

The previous prime is 120101202133007. The next prime is 120101202133097. The reversal of 120101202133020 is 20331202101021.

120101202133020 is a `hidden beast` number, since 1 + 20 + 10 + 120 + 213 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 120101202132984 and 120101202133002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 80442867394 + ... + 80442868886.

It is an arithmetic number, because the mean of its divisors is an integer number (678290004756).

Almost surely, 2^{120101202133020} is an apocalyptic number.

120101202133020 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 120101202133020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195347521369728).

120101202133020 is an abundant number, since it is smaller than the sum of its proper divisors (270593840606436).

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

120101202133020 is a wasteful number, since it uses less digits than its factorization.

120101202133020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2590 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 120101202133020 its reverse (20331202101021), we get a palindrome (140432404234041).

The spelling of 120101202133020 in words is "one hundred twenty trillion, one hundred one billion, two hundred two million, one hundred thirty-three thousand, twenty".