100102102201100 has 36 divisors (see below), whose sum is σ = 217248417477000. Its totient is φ = 40035890520960.

The previous prime is 100102102201091. The next prime is 100102102201141. The reversal of 100102102201100 is 1102201201001.

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 11 ways as a sum of consecutive naturals, for example, 61066550 + ... + 62684349.

It is an arithmetic number, because the mean of its divisors is an integer number (6034678263250).

Almost surely, 2^{100102102201100} is an apocalyptic number.

100102102201100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102102201100 is an abundant number, since it is smaller than the sum of its proper divisors (117146315275900).

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

100102102201100 is a wasteful number, since it uses less digits than its factorization.

100102102201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123759002 (or 123758995 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100102102201100 its reverse (1102201201001), we get a palindrome (101204303402101).

The spelling of 100102102201100 in words is "one hundred trillion, one hundred two billion, one hundred two million, two hundred one thousand, one hundred".