10153233235101 has 32 divisors (see below), whose sum is σ = 14877441331200. Its totient is φ = 6108118018880.

The previous prime is 10153233235043. The next prime is 10153233235111.

10153233235101 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 10153233235101 - 2¹³ = 10153233226909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10153233235111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2681215 + ... + 5243603.

It is an arithmetic number, because the mean of its divisors is an integer number (464920041600).

Almost surely, 2^{10153233235101} is an apocalyptic number.

10153233235101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10153233235101 is a deficient number, since it is larger than the sum of its proper divisors (4724208096099).

10153233235101 is a wasteful number, since it uses less digits than its factorization.

10153233235101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2563289.

The product of its (nonzero) digits is 8100, while the sum is 30.

The spelling of 10153233235101 in words is "ten trillion, one hundred fifty-three billion, two hundred thirty-three million, two hundred thirty-five thousand, one hundred one".