100212102000010 has 128 divisors (see below), whose sum is σ = 246295858636800. Its totient is φ = 28343570699520.

The previous prime is 100212101999917. The next prime is 100212102000019. The reversal of 100212102000010 is 10000201212001.

It is a super-4 number, since 4×100212102000010⁴ (a number of 57 digits) contains 4444 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (100212102000019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84250080 + ... + 85431259.

It is an arithmetic number, because the mean of its divisors is an integer number (1924186395600).

Almost surely, 2^{100212102000010} is an apocalyptic number.

100212102000010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212102000010 is an abundant number, since it is smaller than the sum of its proper divisors (146083756636790).

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

100212102000010 is a wasteful number, since it uses less digits than its factorization.

100212102000010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169681436.

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100212102000010 its reverse (10000201212001), we get a palindrome (110212303212011).

The spelling of 100212102000010 in words is "one hundred trillion, two hundred twelve billion, one hundred two million, ten", and thus it is an aban number.