10501006100 has 144 divisors (see below), whose sum is σ = 25266049536. Its totient is φ = 3763584000.

The previous prime is 10501006093. The next prime is 10501006121. The reversal of 10501006100 is 160010501.

It is a super-2 number, since 2×10501006100² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14443937 + ... + 14444663.

Almost surely, 2^10501006100 is an apocalyptic number.

10501006100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10501006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12633024768).

10501006100 is an abundant number, since it is smaller than the sum of its proper divisors (14765043436).

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

10501006100 is a wasteful number, since it uses less digits than its factorization.

10501006100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1066 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 14.

Adding to 10501006100 its reverse (160010501), we get a palindrome (10661016601).

The spelling of 10501006100 in words is "ten billion, five hundred one million, six thousand, one hundred".