101023101 has 6 divisors (see below), whose sum is σ = 145922270. Its totient is φ = 67348728.

The previous prime is 101023081. The next prime is 101023123. The reversal of 101023101 is 101320101.

It can be written as a sum of positive squares in only one way, i.e., 97416900 + 3606201 = 9870^2 + 1899^2 .

It is not a de Polignac number, because 101023101 - 2⁹ = 101022589 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: 11224789 = 101023101 / (1 + 0 + 1 + 0 + 2 + 3 + 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 (101024101) 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, 5612386 + ... + 5612403.

Almost surely, 2^101023101 is an apocalyptic number.

It is an amenable number.

101023101 is a deficient number, since it is larger than the sum of its proper divisors (44899169).

101023101 is a wasteful number, since it uses less digits than its factorization.

101023101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224795 (or 11224792 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 101023101 is about 10051.0248731162. The cubic root of 101023101 is about 465.7364535446.

Adding to 101023101 its reverse (101320101), we get a palindrome (202343202).

It can be divided in two parts, 101023 and 101, that added together give a square (101124 = 318²).

The spelling of 101023101 in words is "one hundred one million, twenty-three thousand, one hundred one".