101101100102021 has 8 divisors (see below), whose sum is σ = 107048318592600. Its totient is φ = 95153892162048.

The previous prime is 101101100101997. The next prime is 101101100102141. The reversal of 101101100102021 is 120201001101101.

It can be written as a sum of positive squares in 4 ways, for example, as 7418814062500 + 93682286039521 = 2723750^2 + 9678961^2 .

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 101101100102021 - 2⁶ = 101101100101957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101101100101993 and 101101100102011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101101100102621) 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, 25933505 + ... + 29576153.

It is an arithmetic number, because the mean of its divisors is an integer number (13381039824075).

Almost surely, 2^{101101100102021} is an apocalyptic number.

It is an amenable number.

101101100102021 is a deficient number, since it is larger than the sum of its proper divisors (5947218490579).

101101100102021 is a wasteful number, since it uses less digits than its factorization.

101101100102021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275303.

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

Adding to 101101100102021 its reverse (120201001101101), we get a palindrome (221302101203122).

The spelling of 101101100102021 in words is "one hundred one trillion, one hundred one billion, one hundred million, one hundred two thousand, twenty-one".