101111012021 has 8 divisors (see below), whose sum is σ = 102115707480. Its totient is φ = 100108244992.

The previous prime is 101111011993. The next prime is 101111012059. The reversal of 101111012021 is 120210111101.

It can be written as a sum of positive squares in 4 ways, for example, as 24318843025 + 76792168996 = 155945^2 + 277114^2 .

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 101111012021 - 2¹⁰ = 101111010997 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111011993 and 101111012011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111012521) 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, 376610 + ... + 586563.

It is an arithmetic number, because the mean of its divisors is an integer number (12764463435).

Almost surely, 2^101111012021 is an apocalyptic number.

It is an amenable number.

101111012021 is a deficient number, since it is larger than the sum of its proper divisors (1004695459).

101111012021 is an equidigital number, since it uses as much as digits as its factorization.

101111012021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 964215.

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

Adding to 101111012021 its reverse (120210111101), we get a palindrome (221321123122).

The spelling of 101111012021 in words is "one hundred one billion, one hundred eleven million, twelve thousand, twenty-one".