100112202212010 has 192 divisors, whose sum is σ = 244083297100032. Its totient is φ = 26278276856832.

The previous prime is 100112202211993. The next prime is 100112202212021. The reversal of 100112202212010 is 10212202211001.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 56148177579 + ... + 56148179361.

It is an arithmetic number, because the mean of its divisors is an integer number (1271267172396).

Almost surely, 2^{100112202212010} is an apocalyptic number.

100112202212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112202212010 is an abundant number, since it is smaller than the sum of its proper divisors (143971094888022).

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

100112202212010 is a wasteful number, since it uses less digits than its factorization.

100112202212010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2845 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 100112202212010 its reverse (10212202211001), we get a palindrome (110324404423011).

The spelling of 100112202212010 in words is "one hundred trillion, one hundred twelve billion, two hundred two million, two hundred twelve thousand, ten".