100213201131021 has 24 divisors (see below), whose sum is σ = 162179594956704. Its totient is φ = 59093779534560.

The previous prime is 100213201131013. The next prime is 100213201131067. The reversal of 100213201131021 is 120131102312001.

100213201131021 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 1 + 320 + 11 + 310 + 21 = 666.

It is not a de Polignac number, because 100213201131021 - 2³ = 100213201131013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100213201130985 and 100213201131003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100213201831021) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13679111971 + ... + 13679119296.

It is an arithmetic number, because the mean of its divisors is an integer number (6757483123196).

Almost surely, 2^{100213201131021} is an apocalyptic number.

100213201131021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100213201131021 is a deficient number, since it is larger than the sum of its proper divisors (61966393825683).

100213201131021 is a wasteful number, since it uses less digits than its factorization.

100213201131021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27358231321 (or 27358231318 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 100213201131021 its reverse (120131102312001), we get a palindrome (220344303443022).

The spelling of 100213201131021 in words is "one hundred trillion, two hundred thirteen billion, two hundred one million, one hundred thirty-one thousand, twenty-one".