10102544100 has 648 divisors, whose sum is σ = 38276612640. Its totient is φ = 2283494400.

The previous prime is 10102544051. The next prime is 10102544107. The reversal of 10102544100 is 144520101.

10102544100 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 254 + 410 + 0 = 666.

It is a super-2 number, since 2×10102544100² (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10102544107) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 94416247 + ... + 94416353.

Almost surely, 2^10102544100 is an apocalyptic number.

10102544100 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 10102544100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19138306320).

10102544100 is an abundant number, since it is smaller than the sum of its proper divisors (28174068540).

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

10102544100 is a wasteful number, since it uses less digits than its factorization.

10102544100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The spelling of 10102544100 in words is "ten billion, one hundred two million, five hundred forty-four thousand, one hundred".