100110202000000 has 224 divisors, whose sum is σ = 262415547288000. Its totient is φ = 37936483200000.

The previous prime is 100110201999991. The next prime is 100110202000027. The reversal of 100110202000000 is 202011001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 36682761 + ... + 39317239.

Almost surely, 2^{100110202000000} is an apocalyptic number.

100110202000000 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 100110202000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131207773644000).

100110202000000 is an abundant number, since it is smaller than the sum of its proper divisors (162305345288000).

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

100110202000000 is an frugal number, since it uses more digits than its factorization.

100110202000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2634542 (or 2634505 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 100110202000000 its reverse (202011001), we get a palindrome (100110404011001).

The spelling of 100110202000000 in words is "one hundred trillion, one hundred ten billion, two hundred two million", and thus it is an aban number.