102101552200 has 48 divisors (see below), whose sum is σ = 240638007780. Its totient is φ = 40281154560.

The previous prime is 102101552177. The next prime is 102101552209. The reversal of 102101552200 is 2255101201.

It can be written as a sum of positive squares in 6 ways, for example, as 13620290436 + 88481261764 = 116706^2 + 297458^2 .

It is not an unprimeable number, because it can be changed into a prime (102101552209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3482029 + ... + 3511228.

Almost surely, 2^102101552200 is an apocalyptic number.

102101552200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101552200 is an abundant number, since it is smaller than the sum of its proper divisors (138536455580).

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

102101552200 is a wasteful number, since it uses less digits than its factorization.

102101552200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6993346 (or 6993337 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

Adding to 102101552200 its reverse (2255101201), we get a palindrome (104356653401).

The spelling of 102101552200 in words is "one hundred two billion, one hundred one million, five hundred fifty-two thousand, two hundred".