100102212210000 has 1800 divisors, whose sum is σ = 444974271928032. Its totient is φ = 19199980800000.

The previous prime is 100102212209981. The next prime is 100102212210029. The reversal of 100102212210000 is 12212201001.

It is a Harshad number since it is a multiple of its sum of digits (12).

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 359 ways as a sum of consecutive naturals, for example, 2312288355 + ... + 2312331645.

Almost surely, 2^{100102212210000} is an apocalyptic number.

100102212210000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100102212210000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222487135964016).

100102212210000 is an abundant number, since it is smaller than the sum of its proper divisors (344872059718032).

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

100102212210000 is a wasteful number, since it uses less digits than its factorization.

100102212210000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43371 (or 43332 counting only the distinct ones).

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

Adding to 100102212210000 its reverse (12212201001), we get a palindrome (100114424411001).

The spelling of 100102212210000 in words is "one hundred trillion, one hundred two billion, two hundred twelve million, two hundred ten thousand".