2101013123232 has 96 divisors (see below), whose sum is σ = 5539707936000. Its totient is φ = 697222012928.

The previous prime is 2101013123207. The next prime is 2101013123239. The reversal of 2101013123232 is 2323213101012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2101013123232² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2101013123199 and 2101013123208.

It is not an unprimeable number, because it can be changed into a prime (2101013123239) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 106656808 + ... + 106676504.

It is an arithmetic number, because the mean of its divisors is an integer number (57705291000).

Almost surely, 2^{2101013123232} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101013123232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2769853968000).

2101013123232 is an abundant number, since it is smaller than the sum of its proper divisors (3438694812768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101013123232 is a wasteful number, since it uses less digits than its factorization.

2101013123232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24598 (or 24590 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 2101013123232 its reverse (2323213101012), we get a palindrome (4424226224244).

It can be divided in two parts, 210101 and 3123232, that added together give a palindrome (3333333).

The spelling of 2101013123232 in words is "two trillion, one hundred one billion, thirteen million, one hundred twenty-three thousand, two hundred thirty-two".