101011012101 has 6 divisors (see below), whose sum is σ = 145904795270. Its totient is φ = 67340674728.

The previous prime is 101011012093. The next prime is 101011012103. The reversal of 101011012101 is 101210110101.

It can be written as a sum of positive squares in only one way, i.e., 53004011076 + 48007001025 = 230226^2 + 219105^2 .

It is not a de Polignac number, because 101011012101 - 2³ = 101011012093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 11223445789 = 101011012101 / (1 + 0 + 1 + 0 + 1 + 1 + 0 + 1 + 2 + 1 + 0 + 1).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011012103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5611722886 + ... + 5611722903.

Almost surely, 2^101011012101 is an apocalyptic number.

It is an amenable number.

101011012101 is a deficient number, since it is larger than the sum of its proper divisors (44893783169).

101011012101 is a wasteful number, since it uses less digits than its factorization.

101011012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11223445795 (or 11223445792 counting only the distinct ones).

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

Adding to 101011012101 its reverse (101210110101), we get a palindrome (202221122202).

It can be divided in two parts, 10101 and 1012101, that multiplied together give a palindrome (10223232201).

The spelling of 101011012101 in words is "one hundred one billion, eleven million, twelve thousand, one hundred one".