101511348821 has 16 divisors (see below), whose sum is σ = 107948162160. Its totient is φ = 95126707200.

The previous prime is 101511348767. The next prime is 101511348859. The reversal of 101511348821 is 128843115101.

It can be written as a sum of positive squares in 8 ways, for example, as 2718058225 + 98793290596 = 52135^2 + 314314^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101511348821 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 (101511348881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8687435 + ... + 8699111.

It is an arithmetic number, because the mean of its divisors is an integer number (6746760135).

Almost surely, 2^101511348821 is an apocalyptic number.

It is an amenable number.

101511348821 is a deficient number, since it is larger than the sum of its proper divisors (6436813339).

101511348821 is a wasteful number, since it uses less digits than its factorization.

101511348821 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13864.

The product of its (nonzero) digits is 7680, while the sum is 35.

The spelling of 101511348821 in words is "one hundred one billion, five hundred eleven million, three hundred forty-eight thousand, eight hundred twenty-one".