55633106120121 has 6 divisors (see below), whose sum is σ = 80358931062410. Its totient is φ = 37088737413408.

The previous prime is 55633106120117. The next prime is 55633106120129. The reversal of 55633106120121 is 12102160133655.

55633106120121 is a `hidden beast` number, since 5 + 5 + 6 + 3 + 3 + 10 + 612 + 0 + 1 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 36630577382400 + 19002528737721 = 6052320^2 + 4359189^2 .

It is not a de Polignac number, because 55633106120121 - 2² = 55633106120117 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55633106120129) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3090728117776 + ... + 3090728117793.

Almost surely, 2^{55633106120121} is an apocalyptic number.

It is an amenable number.

55633106120121 is a deficient number, since it is larger than the sum of its proper divisors (24725824942289).

55633106120121 is a wasteful number, since it uses less digits than its factorization.

55633106120121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6181456235575 (or 6181456235572 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 55633106120121 its reverse (12102160133655), we get a palindrome (67735266253776).

The spelling of 55633106120121 in words is "fifty-five trillion, six hundred thirty-three billion, one hundred six million, one hundred twenty thousand, one hundred twenty-one".