100101002102023 has 16 divisors (see below), whose sum is σ = 107953104067200. Its totient is φ = 92270622977280.

The previous prime is 100101002102021. The next prime is 100101002102029. The reversal of 100101002102023 is 320201200101001.

It is a cyclic number.

It is not a de Polignac number, because 100101002102023 - 2¹ = 100101002102021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100101002101994 and 100101002102012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100101002102021) 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, 893152633 + ... + 893264701.

It is an arithmetic number, because the mean of its divisors is an integer number (6747069004200).

Almost surely, 2^{100101002102023} is an apocalyptic number.

100101002102023 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

100101002102023 is a deficient number, since it is larger than the sum of its proper divisors (7852101965177).

100101002102023 is a wasteful number, since it uses less digits than its factorization.

100101002102023 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208362.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 100101002102023 its reverse (320201200101001), we get a palindrome (420302202203024).

The spelling of 100101002102023 in words is "one hundred trillion, one hundred one billion, two million, one hundred two thousand, twenty-three".