1010032101 has 24 divisors (see below), whose sum is σ = 1663585560. Its totient is φ = 584994816.

The previous prime is 1010032091. The next prime is 1010032103. The reversal of 1010032101 is 1012300101.

It can be written as a sum of positive squares in 4 ways, for example, as 9828225 + 1000203876 = 3135^2 + 31626^2 .

It is not a de Polignac number, because 1010032101 - 2²³ = 1001643493 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 (1010032103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251916 + ... + 255893.

It is an arithmetic number, because the mean of its divisors is an integer number (69316065).

Almost surely, 2^1010032101 is an apocalyptic number.

It is an amenable number.

1010032101 is a deficient number, since it is larger than the sum of its proper divisors (653553459).

1010032101 is a wasteful number, since it uses less digits than its factorization.

1010032101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507845 (or 507842 counting only the distinct ones).

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

The square root of 1010032101 is about 31781.0022025738. The cubic root of 1010032101 is about 1003.3329130165.

Adding to 1010032101 its reverse (1012300101), we get a palindrome (2022332202).

The spelling of 1010032101 in words is "one billion, ten million, thirty-two thousand, one hundred one".