100212211122000 has 160 divisors (see below), whose sum is σ = 323292774604800. Its totient is φ = 26706001881600.

The previous prime is 100212211121993. The next prime is 100212211122007. The reversal of 100212211122000 is 221112212001.

It is an interprime number because it is at equal distance from previous prime (100212211121993) and next prime (100212211122007).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212211122007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3902769 + ... + 14685231.

It is an arithmetic number, because the mean of its divisors is an integer number (2020579841280).

Almost surely, 2^{100212211122000} is an apocalyptic number.

100212211122000 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 100212211122000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161646387302400).

100212211122000 is an abundant number, since it is smaller than the sum of its proper divisors (223080563482800).

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

100212211122000 is a wasteful number, since it uses less digits than its factorization.

100212211122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10784038 (or 10784022 counting only the distinct ones).

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

Adding to 100212211122000 its reverse (221112212001), we get a palindrome (100433323334001).

The spelling of 100212211122000 in words is "one hundred trillion, two hundred twelve billion, two hundred eleven million, one hundred twenty-two thousand".