1010320101 has 32 divisors (see below), whose sum is σ = 1765785600. Its totient is φ = 558699120.

The previous prime is 1010320049. The next prime is 1010320123. The reversal of 1010320101 is 1010230101.

It is not a de Polignac number, because 1010320101 - 2¹⁷ = 1010189029 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010320301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80361 + ... + 92078.

It is an arithmetic number, because the mean of its divisors is an integer number (55180800).

Almost surely, 2^1010320101 is an apocalyptic number.

It is an amenable number.

1010320101 is a deficient number, since it is larger than the sum of its proper divisors (755465499).

1010320101 is a wasteful number, since it uses less digits than its factorization.

1010320101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172486 (or 172480 counting only the distinct ones).

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

The square root of 1010320101 is about 31785.5328884070. The cubic root of 1010320101 is about 1003.4282672197.

Adding to 1010320101 its reverse (1010230101), we get a palindrome (2020550202).

Subtracting from 1010320101 its reverse (1010230101), we obtain a square (90000 = 300²).

The spelling of 1010320101 in words is "one billion, ten million, three hundred twenty thousand, one hundred one".