100212110100010 has 64 divisors (see below), whose sum is σ = 180941260830624. Its totient is φ = 39960760320000.

The previous prime is 100212110099951. The next prime is 100212110100019. The reversal of 100212110100010 is 10001011212001.

100212110100010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 50160998848249 + 50051111251761 = 7082443^2 + 7074681^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a self number, because there is not a number n which added to its sum of digits gives 100212110100010.

It is not an unprimeable number, because it can be changed into a prime (100212110100019) 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, 14363205642 + ... + 14363212618.

Almost surely, 2^{100212110100010} is an apocalyptic number.

100212110100010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212110100010 is a deficient number, since it is larger than the sum of its proper divisors (80729150730614).

100212110100010 is a wasteful number, since it uses less digits than its factorization.

100212110100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10699.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 100212110100010 its reverse (10001011212001), we get a palindrome (110213121312011).

The spelling of 100212110100010 in words is "one hundred trillion, two hundred twelve billion, one hundred ten million, one hundred thousand, ten".