101022441031032 has 32 divisors (see below), whose sum is σ = 252557112862080. Its totient is φ = 33674012305760.

The previous prime is 101022441030941. The next prime is 101022441031033. The reversal of 101022441031032 is 230130144220101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 101022441030993 and 101022441031011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022441031033) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2200668 + ... + 14383595.

It is an arithmetic number, because the mean of its divisors is an integer number (7892409776940).

Almost surely, 2^{101022441031032} is an apocalyptic number.

101022441031032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022441031032 is an abundant number, since it is smaller than the sum of its proper divisors (151534671831048).

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

101022441031032 is a wasteful number, since it uses less digits than its factorization.

101022441031032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16838083 (or 16838079 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 101022441031032 its reverse (230130144220101), we get a palindrome (331152585251133).

The spelling of 101022441031032 in words is "one hundred one trillion, twenty-two billion, four hundred forty-one million, thirty-one thousand, thirty-two".