101021110101016 has 24 divisors (see below), whose sum is σ = 220339411063020. Its totient is φ = 43294761471696.

The previous prime is 101021110100957. The next prime is 101021110101017. The reversal of 101021110101016 is 610101011120101.

101021110101016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021110101017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128853456370 + ... + 128853457153.

Almost surely, 2^{101021110101016} is an apocalyptic number.

It is an amenable number.

101021110101016 is an abundant number, since it is smaller than the sum of its proper divisors (119318300962004).

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

101021110101016 is a wasteful number, since it uses less digits than its factorization.

101021110101016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257706913543 (or 257706913532 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 16.

Adding to 101021110101016 its reverse (610101011120101), we get a palindrome (711122121221117).

The spelling of 101021110101016 in words is "one hundred one trillion, twenty-one billion, one hundred ten million, one hundred one thousand, sixteen".