10122051600 has 900 divisors, whose sum is σ = 41124403584. Its totient is φ = 2378280960.

The previous prime is 10122051571. The next prime is 10122051629. The reversal of 10122051600 is 615022101.

10122051600 is a `hidden beast` number, since 1 + 0 + 12 + 2 + 0 + 51 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (10122051571) and next prime (10122051629).

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 215362777 + ... + 215362823.

Almost surely, 2^10122051600 is an apocalyptic number.

10122051600 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 10122051600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20562201792).

10122051600 is an abundant number, since it is smaller than the sum of its proper divisors (31002351984).

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

10122051600 is a wasteful number, since it uses less digits than its factorization.

10122051600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

Adding to 10122051600 its reverse (615022101), we get a palindrome (10737073701).

The spelling of 10122051600 in words is "ten billion, one hundred twenty-two million, fifty-one thousand, six hundred".