10051122400 has 144 divisors (see below), whose sum is σ = 26841438288. Its totient is φ = 3644928000.

The previous prime is 10051122391. The next prime is 10051122427. The reversal of 10051122400 is 422115001.

It is a super-2 number, since 2×10051122400² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3703444 + ... + 3706156.

It is an arithmetic number, because the mean of its divisors is an integer number (186398877).

Almost surely, 2^10051122400 is an apocalyptic number.

10051122400 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 10051122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13420719144).

10051122400 is an abundant number, since it is smaller than the sum of its proper divisors (16790315888).

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

10051122400 is a wasteful number, since it uses less digits than its factorization.

10051122400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3152 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

Adding to 10051122400 its reverse (422115001), we get a palindrome (10473237401).

It can be divided in two parts, 100 and 51122400, that added together give a square (51122500 = 7150²).

The spelling of 10051122400 in words is "ten billion, fifty-one million, one hundred twenty-two thousand, four hundred".