10101233211132 has 96 divisors (see below), whose sum is σ = 27536229826560. Its totient is φ = 2821941178560.

The previous prime is 10101233211109. The next prime is 10101233211193. The reversal of 10101233211132 is 23111233210101.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10101233211099 and 10101233211108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2870707 + ... + 5333237.

It is an arithmetic number, because the mean of its divisors is an integer number (286835727360).

Almost surely, 2^{10101233211132} is an apocalyptic number.

10101233211132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101233211132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13768114913280).

10101233211132 is an abundant number, since it is smaller than the sum of its proper divisors (17434996615428).

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

10101233211132 is a wasteful number, since it uses less digits than its factorization.

10101233211132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2463631 (or 2463629 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10101233211132 its reverse (23111233210101), we get a palindrome (33212466421233).

The spelling of 10101233211132 in words is "ten trillion, one hundred one billion, two hundred thirty-three million, two hundred eleven thousand, one hundred thirty-two".