120101110021200 has 720 divisors, whose sum is σ = 488074975452288. Its totient is φ = 24708963840000.

The previous prime is 120101110021199. The next prime is 120101110021219. The reversal of 120101110021200 is 2120011101021.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 102071434 + ... + 103241366.

Almost surely, 2^{120101110021200} is an apocalyptic number.

120101110021200 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 120101110021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244037487726144).

120101110021200 is an abundant number, since it is smaller than the sum of its proper divisors (367973865431088).

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

120101110021200 is a wasteful number, since it uses less digits than its factorization.

120101110021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170084 (or 1170062 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 120101110021200 its reverse (2120011101021), we get a palindrome (122221121122221).

It can be divided in two parts, 1201011 and 10021200, that added together give a palindrome (11222211).

The spelling of 120101110021200 in words is "one hundred twenty trillion, one hundred one billion, one hundred ten million, twenty-one thousand, two hundred".