100262461221 has 24 divisors (see below), whose sum is σ = 161341897080. Its totient is φ = 59572388736.

The previous prime is 100262461207. The next prime is 100262461253. The reversal of 100262461221 is 122164262001.

100262461221 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 6 + 24 + 612 + 21 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3759038721 + 96503422500 = 61311^2 + 310650^2 .

It is not a de Polignac number, because 100262461221 - 2⁹ = 100262460709 is a prime.

It is a super-2 number, since 2×100262461221² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100262461261) 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, 14771506 + ... + 14778291.

It is an arithmetic number, because the mean of its divisors is an integer number (6722579045).

Almost surely, 2^100262461221 is an apocalyptic number.

It is an amenable number.

100262461221 is a deficient number, since it is larger than the sum of its proper divisors (61079435859).

100262461221 is a wasteful number, since it uses less digits than its factorization.

100262461221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29549845 (or 29549842 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 100262461221 in words is "one hundred billion, two hundred sixty-two million, four hundred sixty-one thousand, two hundred twenty-one".