101020311 has 48 divisors (see below), whose sum is σ = 180165600. Its totient is φ = 55714176.

The previous prime is 101020303. The next prime is 101020327. The reversal of 101020311 is 113020101.

It is not a de Polignac number, because 101020311 - 2³ = 101020303 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 101020293 and 101020302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37051 + ... + 39683.

It is an arithmetic number, because the mean of its divisors is an integer number (3753450).

Almost surely, 2^101020311 is an apocalyptic number.

101020311 is a deficient number, since it is larger than the sum of its proper divisors (79145289).

101020311 is a wasteful number, since it uses less digits than its factorization.

101020311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2685 (or 2672 counting only the distinct ones).

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

The square root of 101020311 is about 10050.8860803414. The cubic root of 101020311 is about 465.7321660214.

Adding to 101020311 its reverse (113020101), we get a palindrome (214040412).

It can be divided in two parts, 1010 and 20311, that added together give a triangular number (21321 = T₂₀₆).

The spelling of 101020311 in words is "one hundred one million, twenty thousand, three hundred eleven".