10500101100 has 108 divisors (see below), whose sum is σ = 34644249640. Its totient is φ = 2652652800.

The previous prime is 10500101069. The next prime is 10500101159. The reversal of 10500101100 is 110100501.

It is a super-2 number, since 2×10500101100² (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 an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 289921 + ... + 324120.

Almost surely, 2^10500101100 is an apocalyptic number.

10500101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10500101100 is an abundant number, since it is smaller than the sum of its proper divisors (24144148540).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10500101100 is a wasteful number, since it uses less digits than its factorization.

10500101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 614080 (or 614070 counting only the distinct ones).

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

Adding to 10500101100 its reverse (110100501), we get a palindrome (10610201601).

The spelling of 10500101100 in words is "ten billion, five hundred million, one hundred one thousand, one hundred".