100521010213 has 12 divisors (see below), whose sum is σ = 108862787460. Its totient is φ = 92776185216.

The previous prime is 100521010211. The next prime is 100521010231. The reversal of 100521010213 is 312010125001.

It can be written as a sum of positive squares in 6 ways, for example, as 32336311329 + 68184698884 = 179823^2 + 261122^2 .

It is not a de Polignac number, because 100521010213 - 2¹ = 100521010211 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100521010211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1371895 + ... + 1443307.

It is an arithmetic number, because the mean of its divisors is an integer number (9071898955).

Almost surely, 2^100521010213 is an apocalyptic number.

100521010213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

100521010213 is a deficient number, since it is larger than the sum of its proper divisors (8341777247).

100521010213 is an equidigital number, since it uses as much as digits as its factorization.

100521010213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79768 (or 79755 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

Adding to 100521010213 its reverse (312010125001), we get a palindrome (412531135214).

The spelling of 100521010213 in words is "one hundred billion, five hundred twenty-one million, ten thousand, two hundred thirteen".