120200122002100 has 144 divisors (see below), whose sum is σ = 306660969441792. Its totient is φ = 40040215741440.

The previous prime is 120200122002083. The next prime is 120200122002119. The reversal of 120200122002100 is 1200221002021.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8826639 + ... + 17841238.

It is an arithmetic number, because the mean of its divisors is an integer number (2129590065568).

Almost surely, 2^{120200122002100} is an apocalyptic number.

120200122002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120200122002100 is an abundant number, since it is smaller than the sum of its proper divisors (186460847439692).

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

120200122002100 is a wasteful number, since it uses less digits than its factorization.

120200122002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26668082 (or 26668075 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 120200122002100 its reverse (1200221002021), we get a palindrome (121400343004121).

The spelling of 120200122002100 in words is "one hundred twenty trillion, two hundred billion, one hundred twenty-two million, two thousand, one hundred".