102102001121100 has 72 divisors (see below), whose sum is σ = 297065487216960. Its totient is φ = 27075093020480.

The previous prime is 102102001121077. The next prime is 102102001121137. The reversal of 102102001121100 is 1121100201201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 950616702 + ... + 950724101.

It is an arithmetic number, because the mean of its divisors is an integer number (4125909544680).

Almost surely, 2^{102102001121100} is an apocalyptic number.

102102001121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102001121100 is an abundant number, since it is smaller than the sum of its proper divisors (194963486095860).

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

102102001121100 is a wasteful number, since it uses less digits than its factorization.

102102001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901340999 (or 1901340992 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 102102001121100 its reverse (1121100201201), we get a palindrome (103223101322301).

The spelling of 102102001121100 in words is "one hundred two trillion, one hundred two billion, one million, one hundred twenty-one thousand, one hundred".