100212102010 has 64 divisors (see below), whose sum is σ = 195754073760. Its totient is φ = 36787322880.

The previous prime is 100212101933. The next prime is 100212102017. The reversal of 100212102010 is 10201212001.

It can be written as a sum of positive squares in 16 ways, for example, as 398441521 + 99813660489 = 19961^2 + 315933^2 .

It is a super-4 number, since 4×100212102010⁴ (a number of 45 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 (100212102017) 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, 25766146 + ... + 25770034.

Almost surely, 2^100212102010 is an apocalyptic number.

100212102010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100212102010 is a deficient number, since it is larger than the sum of its proper divisors (95541971750).

100212102010 is a wasteful number, since it uses less digits than its factorization.

100212102010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7651.

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

Adding to 100212102010 its reverse (10201212001), we get a palindrome (110413314011).

The spelling of 100212102010 in words is "one hundred billion, two hundred twelve million, one hundred two thousand, ten".