100201100121120 has 48 divisors (see below), whose sum is σ = 315633465383040. Its totient is φ = 26720293365504.

The previous prime is 100201100121091. The next prime is 100201100121137. The reversal of 100201100121120 is 21121001102001.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a junction number, because it is equal to n+sod(n) for n = 100201100121096 and 100201100121105.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 104376145480 + ... + 104376146439.

It is an arithmetic number, because the mean of its divisors is an integer number (6575697195480).

Almost surely, 2^{100201100121120} is an apocalyptic number.

100201100121120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201100121120 is an abundant number, since it is smaller than the sum of its proper divisors (215432365261920).

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

100201100121120 is a wasteful number, since it uses less digits than its factorization.

100201100121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208752291937 (or 208752291929 counting only the distinct ones).

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

Adding to 100201100121120 its reverse (21121001102001), we get a palindrome (121322101223121).

The spelling of 100201100121120 in words is "one hundred trillion, two hundred one billion, one hundred million, one hundred twenty-one thousand, one hundred twenty".