10500010101 has 64 divisors (see below), whose sum is σ = 18878054400. Its totient is φ = 5630715648.

The previous prime is 10500010069. The next prime is 10500010121. The reversal of 10500010101 is 10101000501.

It is not a de Polignac number, because 10500010101 - 2⁵ = 10500010069 is a prime.

It is a super-2 number, since 2×10500010101² (a number of 21 digits) 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 (10500010121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1148916 + ... + 1158018.

It is an arithmetic number, because the mean of its divisors is an integer number (294969600).

Almost surely, 2^10500010101 is an apocalyptic number.

It is an amenable number.

10500010101 is a deficient number, since it is larger than the sum of its proper divisors (8378044299).

10500010101 is a wasteful number, since it uses less digits than its factorization.

10500010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9489 counting only the distinct ones).

The product of its (nonzero) digits is 5, while the sum is 9.

Adding to 10500010101 its reverse (10101000501), we get a palindrome (20601010602).

The spelling of 10500010101 in words is "ten billion, five hundred million, ten thousand, one hundred one".