100212120212010 has 128 divisors (see below), whose sum is σ = 251175390165504. Its totient is φ = 25540034150400.

The previous prime is 100212120211997. The next prime is 100212120212023. The reversal of 100212120212010 is 10212021212001.

100212120212010 is digitally balanced in base 3 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (100212120211997) and next prime (100212120212023).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6506850310 + ... + 6506865710.

It is an arithmetic number, because the mean of its divisors is an integer number (1962307735668).

Almost surely, 2^{100212120212010} is an apocalyptic number.

100212120212010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100212120212010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125587695082752).

100212120212010 is an abundant number, since it is smaller than the sum of its proper divisors (150963269953494).

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

100212120212010 is a wasteful number, since it uses less digits than its factorization.

100212120212010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22688.

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

Adding to 100212120212010 its reverse (10212021212001), we get a palindrome (110424141424011).

Subtracting from 100212120212010 its reverse (10212021212001), we obtain a palindrome (90000099000009).

The spelling of 100212120212010 in words is "one hundred trillion, two hundred twelve billion, one hundred twenty million, two hundred twelve thousand, ten".