100102101000222 has 128 divisors (see below), whose sum is σ = 220237121857536. Its totient is φ = 30203317760000.

The previous prime is 100102101000211. The next prime is 100102101000259. The reversal of 100102101000222 is 222000101201001.

It is a junction number, because it is equal to n+sod(n) for n = 100102101000198 and 100102101000207.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3201100447 + ... + 3201131717.

It is an arithmetic number, because the mean of its divisors is an integer number (1720602514512).

Almost surely, 2^{100102101000222} is an apocalyptic number.

100102101000222 is an abundant number, since it is smaller than the sum of its proper divisors (120135020857314).

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

100102101000222 is a wasteful number, since it uses less digits than its factorization.

100102101000222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42186.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 100102101000222 its reverse (222000101201001), we get a palindrome (322102202201223).

The spelling of 100102101000222 in words is "one hundred trillion, one hundred two billion, one hundred one million, two hundred twenty-two", and thus it is an aban number.