101553545355101 has 8 divisors (see below), whose sum is σ = 116062103555904. Its totient is φ = 87045214370400.

The previous prime is 101553545355089. The next prime is 101553545355107.

It is a happy number.

101553545355101 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101553545355101 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101553545355107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55845200 + ... + 57635001.

It is an arithmetic number, because the mean of its divisors is an integer number (14507762944488).

Almost surely, 2^{101553545355101} is an apocalyptic number.

It is an amenable number.

101553545355101 is a deficient number, since it is larger than the sum of its proper divisors (14508558200803).

101553545355101 is a wasteful number, since it uses less digits than its factorization.

101553545355101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113608051.

The product of its (nonzero) digits is 562500, while the sum is 44.

The spelling of 101553545355101 in words is "one hundred one trillion, five hundred fifty-three billion, five hundred forty-five million, three hundred fifty-five thousand, one hundred one".