102112201210100 has 36 divisors (see below), whose sum is σ = 221587742521068. Its totient is φ = 40844094144000.

The previous prime is 102112201210087. The next prime is 102112201210121. The reversal of 102112201210100 is 1012102211201.

It can be written as a sum of positive squares in 6 ways, for example, as 19181964797284 + 82930236412816 = 4379722^2 + 9106604^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4595111 + ... + 15011310.

Almost surely, 2^{102112201210100} is an apocalyptic number.

102112201210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102112201210100 is an abundant number, since it is smaller than the sum of its proper divisors (119475541310968).

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

102112201210100 is a wasteful number, since it uses less digits than its factorization.

102112201210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19658516 (or 19658509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102112201210100 its reverse (1012102211201), we get a palindrome (103124303421301).

The spelling of 102112201210100 in words is "one hundred two trillion, one hundred twelve billion, two hundred one million, two hundred ten thousand, one hundred".