102102110101100 has 72 divisors (see below), whose sum is σ = 226290165127488. Its totient is φ = 39969326694400.

The previous prime is 102102110101097. The next prime is 102102110101217. The reversal of 102102110101100 is 1101011201201.

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, 73444460 + ... + 74821740.

It is an arithmetic number, because the mean of its divisors is an integer number (3142918960104).

Almost surely, 2^{102102110101100} is an apocalyptic number.

102102110101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102110101100 is an abundant number, since it is smaller than the sum of its proper divisors (124188055026388).

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

102102110101100 is a wasteful number, since it uses less digits than its factorization.

102102110101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393115 (or 1393108 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 102102110101100 its reverse (1101011201201), we get a palindrome (103203121302301).

The spelling of 102102110101100 in words is "one hundred two trillion, one hundred two billion, one hundred ten million, one hundred one thousand, one hundred".