101621101202016 has 96 divisors (see below), whose sum is σ = 291869400670848. Its totient is φ = 30702895319040.

The previous prime is 101621101201979. The next prime is 101621101202017. The reversal of 101621101202016 is 610202101126101.

101621101202016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101621101202017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142421730 + ... + 143133473.

It is an arithmetic number, because the mean of its divisors is an integer number (3040306256988).

Almost surely, 2^{101621101202016} is an apocalyptic number.

101621101202016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101621101202016 is an abundant number, since it is smaller than the sum of its proper divisors (190248299468832).

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

101621101202016 is a wasteful number, since it uses less digits than its factorization.

101621101202016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285555564 (or 285555556 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 101621101202016 its reverse (610202101126101), we get a palindrome (711823202328117).

The spelling of 101621101202016 in words is "one hundred one trillion, six hundred twenty-one billion, one hundred one million, two hundred two thousand, sixteen".