100410300412121 has 12 divisors (see below), whose sum is σ = 117409019991732. Its totient is φ = 85620034096128.

The previous prime is 100410300412117. The next prime is 100410300412159. The reversal of 100410300412121 is 121214003014001.

It can be written as a sum of positive squares in 2 ways, for example, as 51553275963721 + 48857024448400 = 7180061^2 + 6989780^2 .

It is not a de Polignac number, because 100410300412121 - 2² = 100410300412117 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100410300412093 and 100410300412102.

It is not an unprimeable number, because it can be changed into a prime (100410300412921) 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, 5308772420 + ... + 5308791333.

It is an arithmetic number, because the mean of its divisors is an integer number (9784084999311).

Almost surely, 2^{100410300412121} is an apocalyptic number.

It is an amenable number.

100410300412121 is a deficient number, since it is larger than the sum of its proper divisors (16998719579611).

100410300412121 is a wasteful number, since it uses less digits than its factorization.

100410300412121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10617563960 (or 10617563953 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 100410300412121 its reverse (121214003014001), we get a palindrome (221624303426122).

The spelling of 100410300412121 in words is "one hundred trillion, four hundred ten billion, three hundred million, four hundred twelve thousand, one hundred twenty-one".