101112032101 has 8 divisors (see below), whose sum is σ = 103518620480. Its totient is φ = 98707950432.

The previous prime is 101112032093. The next prime is 101112032111. The reversal of 101112032101 is 101230211101.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101112032101 - 2³ = 101112032093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112032111) 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, 544920 + ... + 706513.

It is an arithmetic number, because the mean of its divisors is an integer number (12939827560).

Almost surely, 2^101112032101 is an apocalyptic number.

It is an amenable number.

101112032101 is a deficient number, since it is larger than the sum of its proper divisors (2406588379).

101112032101 is a wasteful number, since it uses less digits than its factorization.

101112032101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1253355.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101112032101 its reverse (101230211101), we get a palindrome (202342243202).

The spelling of 101112032101 in words is "one hundred one billion, one hundred twelve million, thirty-two thousand, one hundred one".