102002211001100 has 36 divisors (see below), whose sum is σ = 221505076809408. Its totient is φ = 40771339896000.

The previous prime is 102002211001049. The next prime is 102002211001123. The reversal of 102002211001100 is 1100112200201.

It is a super-2 number, since 2×102002211001100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 369167516 + ... + 369443715.

Almost surely, 2^{102002211001100} is an apocalyptic number.

102002211001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002211001100 is an abundant number, since it is smaller than the sum of its proper divisors (119502865808308).

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

102002211001100 is a wasteful number, since it uses less digits than its factorization.

102002211001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738612626 (or 738612619 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102002211001100 its reverse (1100112200201), we get a palindrome (103102323201301).

The spelling of 102002211001100 in words is "one hundred two trillion, two billion, two hundred eleven million, one thousand, one hundred".