10100103020016 has 40 divisors (see below), whose sum is σ = 26095413120000. Its totient is φ = 3366251933376.

The previous prime is 10100103020011. The next prime is 10100103020081. The reversal of 10100103020016 is 61002030100101.

It is a junction number, because it is equal to n+sod(n) for n = 10100103019977 and 10100103020004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100103020011) 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, 13669840 + ... + 14389743.

It is an arithmetic number, because the mean of its divisors is an integer number (652385328000).

Almost surely, 2^{10100103020016} is an apocalyptic number.

10100103020016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10100103020016 is an abundant number, since it is smaller than the sum of its proper divisors (15995310099984).

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

10100103020016 is a wasteful number, since it uses less digits than its factorization.

10100103020016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28067093 (or 28067087 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 10100103020016 its reverse (61002030100101), we get a palindrome (71102133120117).

The spelling of 10100103020016 in words is "ten trillion, one hundred billion, one hundred three million, twenty thousand, sixteen".