10122100010000 has 200 divisors, whose sum is σ = 27303323439744. Its totient is φ = 3602447680000.

The previous prime is 10122100009981. The next prime is 10122100010039. The reversal of 10122100010000 is 1000122101.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-2 number, since 2×10122100010000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 10122100010000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4191074 + ... + 6148926.

Almost surely, 2^{10122100010000} is an apocalyptic number.

10122100010000 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 10122100010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13651661719872).

10122100010000 is an abundant number, since it is smaller than the sum of its proper divisors (17181223429744).

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

10122100010000 is a wasteful number, since it uses less digits than its factorization.

10122100010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957939 (or 1957918 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10122100010000 its reverse (1000122101), we get a palindrome (10123100132101).

The spelling of 10122100010000 in words is "ten trillion, one hundred twenty-two billion, one hundred million, ten thousand".