120200101010020 has 192 divisors, whose sum is σ = 273413653438464. Its totient is φ = 44214659481600.

The previous prime is 120200101009999. The next prime is 120200101010039. The reversal of 120200101010020 is 20010101002021.

It is a super-2 number, since 2×120200101010020² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 120200101009979 and 120200101010006.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32477734170 + ... + 32477737870.

It is an arithmetic number, because the mean of its divisors is an integer number (1424029444992).

Almost surely, 2^{120200101010020} is an apocalyptic number.

120200101010020 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 120200101010020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136706826719232).

120200101010020 is an abundant number, since it is smaller than the sum of its proper divisors (153213552428444).

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

120200101010020 is a wasteful number, since it uses less digits than its factorization.

120200101010020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6638 (or 6636 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 120200101010020 its reverse (20010101002021), we get a palindrome (140210202012041).

The spelling of 120200101010020 in words is "one hundred twenty trillion, two hundred billion, one hundred one million, ten thousand, twenty".