102023010101001 has 64 divisors (see below), whose sum is σ = 171099471052800. Its totient is φ = 53230946227200.

The previous prime is 102023010100939. The next prime is 102023010101009. The reversal of 102023010101001 is 100101010320201.

It is not a de Polignac number, because 102023010101001 - 2¹⁴ = 102023010084617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102023010101009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164717385 + ... + 165335606.

It is an arithmetic number, because the mean of its divisors is an integer number (2673429235200).

Almost surely, 2^{102023010101001} is an apocalyptic number.

102023010101001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102023010101001 is a deficient number, since it is larger than the sum of its proper divisors (69076460951799).

102023010101001 is a wasteful number, since it uses less digits than its factorization.

102023010101001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330053070.

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

Adding to 102023010101001 its reverse (100101010320201), we get a palindrome (202124020421202).

The spelling of 102023010101001 in words is "one hundred two trillion, twenty-three billion, ten million, one hundred one thousand, one".