10102103001 has 80 divisors (see below), whose sum is σ = 16406874000. Its totient is φ = 6170591232.

The previous prime is 10102102979. The next prime is 10102103003. The reversal of 10102103001 is 10030120101.

It can be written as a sum of positive squares in 8 ways, for example, as 765905625 + 9336197376 = 27675^2 + 96624^2 .

It is not a de Polignac number, because 10102103001 - 2¹⁸ = 10101840857 is a prime.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10102103003) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10873705 + ... + 10874633.

It is an arithmetic number, because the mean of its divisors is an integer number (205085925).

Almost surely, 2^10102103001 is an apocalyptic number.

It is an amenable number.

10102103001 is a deficient number, since it is larger than the sum of its proper divisors (6304770999).

10102103001 is a wasteful number, since it uses less digits than its factorization.

10102103001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1160 (or 1151 counting only the distinct ones).

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

Adding to 10102103001 its reverse (10030120101), we get a palindrome (20132223102).

The spelling of 10102103001 in words is "ten billion, one hundred two million, one hundred three thousand, one".