102100112000200 has 24 divisors (see below), whose sum is σ = 237382760400930. Its totient is φ = 40840044800000.

The previous prime is 102100112000147. The next prime is 102100112000231. The reversal of 102100112000200 is 2000211001201.

It can be written as a sum of positive squares in 3 ways, for example, as 52852812760036 + 49247299240164 = 7269994^2 + 7017642^2 .

It is a super-3 number, since 3×102100112000200³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255250279801 + ... + 255250280200.

Almost surely, 2^{102100112000200} is an apocalyptic number.

102100112000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100112000200 is an abundant number, since it is smaller than the sum of its proper divisors (135282648400730).

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

102100112000200 is a wasteful number, since it uses less digits than its factorization.

102100112000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510500560017 (or 510500560008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100112000200 its reverse (2000211001201), we get a palindrome (104100323001401).

The spelling of 102100112000200 in words is "one hundred two trillion, one hundred billion, one hundred twelve million, two hundred", and thus it is an aban number.