100212221202000 has 160 divisors (see below), whose sum is σ = 323089250964480. Its totient is φ = 26722841305600.

The previous prime is 100212221201993. The next prime is 100212221202059. The reversal of 100212221202000 is 202122212001.

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

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 31 ways as a sum of consecutive naturals, for example, 673263586 + ... + 673412414.

It is an arithmetic number, because the mean of its divisors is an integer number (2019307818528).

Almost surely, 2^{100212221202000} is an apocalyptic number.

100212221202000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212221202000 is an abundant number, since it is smaller than the sum of its proper divisors (222877029762480).

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

100212221202000 is a wasteful number, since it uses less digits than its factorization.

100212221202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261078 (or 261062 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 100212221202000 its reverse (202122212001), we get a palindrome (100414343414001).

The spelling of 100212221202000 in words is "one hundred trillion, two hundred twelve billion, two hundred twenty-one million, two hundred two thousand".