100102211210200 has 48 divisors (see below), whose sum is σ = 232747260454080. Its totient is φ = 40039229535360.

The previous prime is 100102211210189. The next prime is 100102211210201. The reversal of 100102211210200 is 2012112201001.

100102211210200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100102211210201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5486719 + ... + 15175918.

It is an arithmetic number, because the mean of its divisors is an integer number (4848901259460).

Almost surely, 2^{100102211210200} is an apocalyptic number.

100102211210200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100102211210200 is an abundant number, since it is smaller than the sum of its proper divisors (132645049243880).

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

100102211210200 is a wasteful number, since it uses less digits than its factorization.

100102211210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20686876 (or 20686867 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 100102211210200 its reverse (2012112201001), we get a palindrome (102114323411201).

The spelling of 100102211210200 in words is "one hundred trillion, one hundred two billion, two hundred eleven million, two hundred ten thousand, two hundred".