10521631220100 has 864 divisors, whose sum is σ = 41262395037696. Its totient is φ = 2010090700800.

The previous prime is 10521631220081. The next prime is 10521631220119. The reversal of 10521631220100 is 102213612501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10521631220081) and next prime (10521631220119).

It is a super-3 number, since 3×10521631220100³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1003297057 + ... + 1003307543.

It is an arithmetic number, because the mean of its divisors is an integer number (47757401664).

Almost surely, 2^{10521631220100} is an apocalyptic number.

10521631220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10521631220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20631197518848).

10521631220100 is an abundant number, since it is smaller than the sum of its proper divisors (30740763817596).

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

10521631220100 is a wasteful number, since it uses less digits than its factorization.

10521631220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10805 (or 10785 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10521631220100 its reverse (102213612501), we get a palindrome (10623844832601).

The spelling of 10521631220100 in words is "ten trillion, five hundred twenty-one billion, six hundred thirty-one million, two hundred twenty thousand, one hundred".