1020103101 has 12 divisors (see below), whose sum is σ = 1524292380. Its totient is φ = 656617920.

The previous prime is 1020103067. The next prime is 1020103127. The reversal of 1020103101 is 1013010201.

It can be written as a sum of positive squares in 2 ways, for example, as 610040601 + 410062500 = 24699^2 + 20250^2 .

It is not a de Polignac number, because 1020103101 - 2⁷ = 1020102973 is a prime.

It is a super-2 number, since 2×1020103101² = 2081220673339632402, which contains 22 as substring.

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 (1020103151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1953960 + ... + 1954481.

It is an arithmetic number, because the mean of its divisors is an integer number (127024365).

Almost surely, 2^1020103101 is an apocalyptic number.

It is an amenable number.

1020103101 is a deficient number, since it is larger than the sum of its proper divisors (504189279).

1020103101 is a wasteful number, since it uses less digits than its factorization.

1020103101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908476 (or 3908473 counting only the distinct ones).

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

The square root of 1020103101 is about 31939.0529133223. The cubic root of 1020103101 is about 1006.6566246945.

Adding to 1020103101 its reverse (1013010201), we get a palindrome (2033113302).

It can be divided in two parts, 102010 and 3101, that added together give a triangular number (105111 = T₄₅₈).

The spelling of 1020103101 in words is "one billion, twenty million, one hundred three thousand, one hundred one".