10234001031101 has 16 divisors (see below), whose sum is σ = 10860483291840. Its totient is φ = 9610243887360.

The previous prime is 10234001031073. The next prime is 10234001031113. The reversal of 10234001031101 is 10113010043201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10234001031101 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10234001031101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10234001031181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71609846 + ... + 71752616.

It is an arithmetic number, because the mean of its divisors is an integer number (678780205740).

Almost surely, 2^{10234001031101} is an apocalyptic number.

It is an amenable number.

10234001031101 is a deficient number, since it is larger than the sum of its proper divisors (626482260739).

10234001031101 is a wasteful number, since it uses less digits than its factorization.

10234001031101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152284.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 10234001031101 its reverse (10113010043201), we get a palindrome (20347011074302).

The spelling of 10234001031101 in words is "ten trillion, two hundred thirty-four billion, one million, thirty-one thousand, one hundred one".