100212100000002 has 24 divisors (see below), whose sum is σ = 217246775435820. Its totient is φ = 33385485830400.

The previous prime is 100212099999997. The next prime is 100212100000003. The reversal of 100212100000002 is 200000001212001.

It can be written as a sum of positive squares in 2 ways, for example, as 98723917152081 + 1488182847921 = 9935991^2 + 1219911^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a self number, because there is not a number n which added to its sum of digits gives 100212100000002.

It is not an unprimeable number, because it can be changed into a prime (100212100000003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1545591927 + ... + 1545656762.

Almost surely, 2^{100212100000002} is an apocalyptic number.

100212100000002 is an abundant number, since it is smaller than the sum of its proper divisors (117034675435818).

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

100212100000002 is a wasteful number, since it uses less digits than its factorization.

100212100000002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091250498 (or 3091250495 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100212100000002 its reverse (200000001212001), we get a palindrome (300212101212003).

The spelling of 100212100000002 in words is "one hundred trillion, two hundred twelve billion, one hundred million, two", and thus it is an aban number.