10123011032101 has 32 divisors (see below), whose sum is σ = 11521354309632. Its totient is φ = 8810829000000.

The previous prime is 10123011032063. The next prime is 10123011032161.

It is a happy number.

10123011032101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10123011032101 - 2¹¹ = 10123011030053 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123011032161) 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 31 ways as a sum of consecutive naturals, for example, 44349496 + ... + 44577166.

It is an arithmetic number, because the mean of its divisors is an integer number (360042322176).

Almost surely, 2^{10123011032101} is an apocalyptic number.

10123011032101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10123011032101 is a deficient number, since it is larger than the sum of its proper divisors (1398343277531).

10123011032101 is a wasteful number, since it uses less digits than its factorization.

10123011032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229105.

The product of its (nonzero) digits is 36, while the sum is 16.

It can be divided in two parts, 1012301 and 1032101, that added together give a palindrome (2044402).

The spelling of 10123011032101 in words is "ten trillion, one hundred twenty-three billion, eleven million, thirty-two thousand, one hundred one".