101111002021 has 8 divisors (see below), whose sum is σ = 101829915000. Its totient is φ = 100392626880.

The previous prime is 101111001991. The next prime is 101111002049. The reversal of 101111002021 is 120200111101.

It can be written as a sum of positive squares in 4 ways, for example, as 45332371396 + 55778630625 = 212914^2 + 236175^2 .

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 101111002021 - 2²⁵ = 101077447589 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101111001989 and 101111002007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111002621) 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, 246691 + ... + 512911.

It is an arithmetic number, because the mean of its divisors is an integer number (12728739375).

Almost surely, 2^101111002021 is an apocalyptic number.

It is an amenable number.

101111002021 is a deficient number, since it is larger than the sum of its proper divisors (718912979).

101111002021 is a wasteful number, since it uses less digits than its factorization.

101111002021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268919.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101111002021 its reverse (120200111101), we get a palindrome (221311113122).

The spelling of 101111002021 in words is "one hundred one billion, one hundred eleven million, two thousand, twenty-one".