10122121161576 has 48 divisors (see below), whose sum is σ = 28359391191300. Its totient is φ = 3257694166272.

The previous prime is 10122121161563. The next prime is 10122121161583. The reversal of 10122121161576 is 67516112122101.

10122121161576 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 2 + 1 + 21 + 1 + 61 + 576 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9489418640100 + 632702521476 = 3080490^2 + 795426^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10122121161576.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2423877501 + ... + 2423881676.

Almost surely, 2^{10122121161576} is an apocalyptic number.

It is an amenable number.

10122121161576 is an abundant number, since it is smaller than the sum of its proper divisors (18237270029724).

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

10122121161576 is a wasteful number, since it uses less digits than its factorization.

10122121161576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4847759218 (or 4847759211 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

Adding to 10122121161576 its reverse (67516112122101), we get a palindrome (77638233283677).

The spelling of 10122121161576 in words is "ten trillion, one hundred twenty-two billion, one hundred twenty-one million, one hundred sixty-one thousand, five hundred seventy-six".