10105102621700 has 72 divisors (see below), whose sum is σ = 22887812086272. Its totient is φ = 3865228026880.

The previous prime is 10105102621673. The next prime is 10105102621729. The reversal of 10105102621700 is 712620150101.

It is a super-2 number, since 2×10105102621700² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10105102621700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7711757 + ... + 8926443.

It is an arithmetic number, because the mean of its divisors is an integer number (317886278976).

Almost surely, 2^{10105102621700} is an apocalyptic number.

10105102621700 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 10105102621700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11443906043136).

10105102621700 is an abundant number, since it is smaller than the sum of its proper divisors (12782709464572).

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

10105102621700 is a wasteful number, since it uses less digits than its factorization.

10105102621700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1218341 (or 1218334 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 26.

Adding to 10105102621700 its reverse (712620150101), we get a palindrome (10817722771801).

The spelling of 10105102621700 in words is "ten trillion, one hundred five billion, one hundred two million, six hundred twenty-one thousand, seven hundred".