100212241345461 has 24 divisors (see below), whose sum is σ = 167067649891584. Its totient is φ = 56697166245600.

The previous prime is 100212241345459. The next prime is 100212241345523. The reversal of 100212241345461 is 164543142212001.

100212241345461 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 12 + 241 + 345 + 4 + 61 = 666.

100212241345461 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 100212241345461 - 2¹ = 100212241345459 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100212241345661) 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, 7874600061 + ... + 7874612786.

It is an arithmetic number, because the mean of its divisors is an integer number (6961152078816).

Almost surely, 2^{100212241345461} is an apocalyptic number.

It is an amenable number.

100212241345461 is a deficient number, since it is larger than the sum of its proper divisors (66855408546123).

100212241345461 is a wasteful number, since it uses less digits than its factorization.

100212241345461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15749212961 (or 15749212958 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

Adding to 100212241345461 its reverse (164543142212001), we get a palindrome (264755383557462).

The spelling of 100212241345461 in words is "one hundred trillion, two hundred twelve billion, two hundred forty-one million, three hundred forty-five thousand, four hundred sixty-one".