102101110122100 has 18 divisors (see below), whose sum is σ = 221559408965174. Its totient is φ = 40840444048800.

The previous prime is 102101110121999. The next prime is 102101110122107. The reversal of 102101110122100 is 1221011101201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 25741964911716 + 76359145210384 = 5073654^2 + 8738372^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101110122107) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 510505550511 + ... + 510505550710.

Almost surely, 2^{102101110122100} is an apocalyptic number.

102101110122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101110122100 is an abundant number, since it is smaller than the sum of its proper divisors (119458298843074).

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

102101110122100 is a wasteful number, since it uses less digits than its factorization.

102101110122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1021011101235 (or 1021011101228 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102101110122100 its reverse (1221011101201), we get a palindrome (103322121223301).

The spelling of 102101110122100 in words is "one hundred two trillion, one hundred one billion, one hundred ten million, one hundred twenty-two thousand, one hundred".