120201101120100 has 288 divisors, whose sum is σ = 466951859168256. Its totient is φ = 23055555801600.

The previous prime is 120201101120083. The next prime is 120201101120129. The reversal of 120201101120100 is 1021101102021.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 199834734 + ... + 200435333.

It is an arithmetic number, because the mean of its divisors is an integer number (1621360622112).

Almost surely, 2^{120201101120100} is an apocalyptic number.

120201101120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120201101120100 is an abundant number, since it is smaller than the sum of its proper divisors (346750758048156).

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

120201101120100 is a wasteful number, since it uses less digits than its factorization.

120201101120100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400270115 (or 400270108 counting only the distinct ones).

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

Adding to 120201101120100 its reverse (1021101102021), we get a palindrome (121222202222121).

The spelling of 120201101120100 in words is "one hundred twenty trillion, two hundred one billion, one hundred one million, one hundred twenty thousand, one hundred".