10111001010032 has 80 divisors (see below), whose sum is σ = 22347854645760. Its totient is φ = 4390169849856.

The previous prime is 10111001010007. The next prime is 10111001010109. The reversal of 10111001010032 is 23001010011101.

It is a happy number.

It is a super-3 number, since 3×10111001010032³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10111001009995 and 10111001010022.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7393073 + ... + 8653295.

It is an arithmetic number, because the mean of its divisors is an integer number (279348183072).

Almost surely, 2^{10111001010032} 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 10111001010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11173927322880).

10111001010032 is an abundant number, since it is smaller than the sum of its proper divisors (12236853635728).

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

10111001010032 is a wasteful number, since it uses less digits than its factorization.

10111001010032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1262530 (or 1262524 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

Adding to 10111001010032 its reverse (23001010011101), we get a palindrome (33112011021133).

The spelling of 10111001010032 in words is "ten trillion, one hundred eleven billion, one million, ten thousand, thirty-two".