10100213010 has 48 divisors (see below), whose sum is σ = 26970307416. Its totient is φ = 2620594944.

The previous prime is 10100212999. The next prime is 10100213023. The reversal of 10100213010 is 1031200101.

It can be written as a sum of positive squares in 4 ways, for example, as 9681969609 + 418243401 = 98397^2 + 20451^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10100212983 and 10100213001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1513219 + ... + 1519878.

Almost surely, 2^10100213010 is an apocalyptic number.

10100213010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10100213010 is an abundant number, since it is smaller than the sum of its proper divisors (16870094406).

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

10100213010 is a wasteful number, since it uses less digits than its factorization.

10100213010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033147 (or 3033144 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 10100213010 its reverse (1031200101), we get a palindrome (11131413111).

The spelling of 10100213010 in words is "ten billion, one hundred million, two hundred thirteen thousand, ten".