101021110101 has 24 divisors (see below), whose sum is σ = 149968727480. Its totient is φ = 65481042816.

The previous prime is 101021110067. The next prime is 101021110133. The reversal of 101021110101 is 101011120101.

It can be written as a sum of positive squares in 4 ways, for example, as 18016619076 + 83004491025 = 134226^2 + 288105^2 .

It is not a de Polignac number, because 101021110101 - 2¹¹ = 101021108053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021110601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369711 + ... + 582003.

Almost surely, 2^101021110101 is an apocalyptic number.

It is an amenable number.

101021110101 is a deficient number, since it is larger than the sum of its proper divisors (48947617379).

101021110101 is a wasteful number, since it uses less digits than its factorization.

101021110101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213765 (or 213762 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 101021110101 its reverse (101011120101), we get a palindrome (202032230202).

The spelling of 101021110101 in words is "one hundred one billion, twenty-one million, one hundred ten thousand, one hundred one".