102001121100 has 108 divisors (see below), whose sum is σ = 331558291064. Its totient is φ = 27200292480.

The previous prime is 102001121081. The next prime is 102001121107. The reversal of 102001121100 is 1121100201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

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 (102001121107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2074489 + ... + 2123088.

Almost surely, 2^102001121100 is an apocalyptic number.

102001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001121100 is an abundant number, since it is smaller than the sum of its proper divisors (229557169964).

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

102001121100 is a wasteful number, since it uses less digits than its factorization.

102001121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197606 (or 4197587 counting only the distinct ones).

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

Adding to 102001121100 its reverse (1121100201), we get a palindrome (103122221301).

The spelling of 102001121100 in words is "one hundred two billion, one million, one hundred twenty-one thousand, one hundred".