100121200020000 has 180 divisors, whose sum is σ = 355785690970710. Its totient is φ = 26698986624000.

The previous prime is 100121200019957. The next prime is 100121200020043. The reversal of 100121200020000 is 20002121001.

It is an interprime number because it is at equal distance from previous prime (100121200019957) and next prime (100121200020043).

It can be written as a sum of positive squares in 5 ways, for example, as 1052700624144 + 99068499395856 = 1026012^2 + 9953316^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 277934445 + ... + 278294444.

Almost surely, 2^{100121200020000} is an apocalyptic number.

100121200020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121200020000 is an abundant number, since it is smaller than the sum of its proper divisors (255664490950710).

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

100121200020000 is an equidigital number, since it uses as much as digits as its factorization.

100121200020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556228925 (or 556228899 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100121200020000 its reverse (20002121001), we get a palindrome (100141202141001).

The spelling of 100121200020000 in words is "one hundred trillion, one hundred twenty-one billion, two hundred million, twenty thousand".