100121110020100 has 36 divisors (see below), whose sum is σ = 233975332496164. Its totient is φ = 36967794468480.

The previous prime is 100121110020079. The next prime is 100121110020101. The reversal of 100121110020100 is 1020011121001.

It can be written as a sum of positive squares in 6 ways, for example, as 15301725474564 + 84819384545536 = 3911742^2 + 9209744^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (100121110020101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38508117939 + ... + 38508120538.

Almost surely, 2^{100121110020100} is an apocalyptic number.

100121110020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121110020100 is an abundant number, since it is smaller than the sum of its proper divisors (133854222476064).

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

100121110020100 is a wasteful number, since it uses less digits than its factorization.

100121110020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77016238504 (or 77016238497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100121110020100 its reverse (1020011121001), we get a palindrome (101141121141101).

The spelling of 100121110020100 in words is "one hundred trillion, one hundred twenty-one billion, one hundred ten million, twenty thousand, one hundred".