101112011021 has 12 divisors (see below), whose sum is σ = 117891759132. Its totient is φ = 86467264128.

The previous prime is 101112011003. The next prime is 101112011023. The reversal of 101112011021 is 120110211101.

It can be written as a sum of positive squares in 2 ways, for example, as 64531240900 + 36580770121 = 254030^2 + 191261^2 .

It is not a de Polignac number, because 101112011021 - 2⁶ = 101112010957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101112010993 and 101112011011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101112011023) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2361590 + ... + 2404023.

It is an arithmetic number, because the mean of its divisors is an integer number (9824313261).

Almost surely, 2^101112011021 is an apocalyptic number.

It is an amenable number.

101112011021 is a deficient number, since it is larger than the sum of its proper divisors (16779748111).

101112011021 is an equidigital number, since it uses as much as digits as its factorization.

101112011021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4766060 (or 4766053 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101112011021 its reverse (120110211101), we get a palindrome (221222222122).

The spelling of 101112011021 in words is "one hundred one billion, one hundred twelve million, eleven thousand, twenty-one".