1002100121100 has 144 divisors (see below), whose sum is σ = 3469379230240. Its totient is φ = 246670790400.

The previous prime is 1002100121039. The next prime is 1002100121101. The reversal of 1002100121100 is 11210012001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1002100121101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14239831 + ... + 14310030.

Almost surely, 2^{1002100121100} is an apocalyptic number.

1002100121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002100121100 is an abundant number, since it is smaller than the sum of its proper divisors (2467279109140).

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

1002100121100 is a wasteful number, since it uses less digits than its factorization.

1002100121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28549897 (or 28549884 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1002100121100 its reverse (11210012001), we get a palindrome (1013310133101).

The spelling of 1002100121100 in words is "one trillion, two billion, one hundred million, one hundred twenty-one thousand, one hundred".