101000001011016 has 32 divisors (see below), whose sum is σ = 253910617077600. Its totient is φ = 33478585063680.

The previous prime is 101000001010991. The next prime is 101000001011017. The reversal of 101000001011016 is 610110100000101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101000001010992 and 101000001011010.

It is not an unprimeable number, because it can be changed into a prime (101000001011017) 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, 11755116865 + ... + 11755125456.

It is an arithmetic number, because the mean of its divisors is an integer number (7934706783675).

Almost surely, 2^{101000001011016} is an apocalyptic number.

It is an amenable number.

101000001011016 is an abundant number, since it is smaller than the sum of its proper divisors (152910616066584).

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

101000001011016 is a wasteful number, since it uses less digits than its factorization.

101000001011016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23510242509 (or 23510242505 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

Adding to 101000001011016 its reverse (610110100000101), we get a palindrome (711110101011117).

The spelling of 101000001011016 in words is "one hundred one trillion, one million, eleven thousand, sixteen".