100102212112110 has 64 divisors (see below), whose sum is σ = 258726829197312. Its totient is φ = 24640438640256.

The previous prime is 100102212112093. The next prime is 100102212112183. The reversal of 100102212112110 is 11211212201001.

It is a happy number.

100102212112110 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100102212112110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129745507 + ... + 130514753.

It is an arithmetic number, because the mean of its divisors is an integer number (4042606706208).

Almost surely, 2^{100102212112110} is an apocalyptic number.

100102212112110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100102212112110 is an abundant number, since it is smaller than the sum of its proper divisors (158624617085202).

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

100102212112110 is a wasteful number, since it uses less digits than its factorization.

100102212112110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102937.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 100102212112110 its reverse (11211212201001), we get a palindrome (111313424313111).

It can be divided in two parts, 100102 and 212112110, that added together give a palindrome (212212212).

The spelling of 100102212112110 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, one hundred twelve thousand, one hundred ten".