100276122960 has 960 divisors, whose sum is σ = 391725642240. Its totient is φ = 23549460480.

The previous prime is 100276122943. The next prime is 100276122971. The reversal of 100276122960 is 69221672001.

100276122960 is a `hidden beast` number, since 10 + 0 + 2 + 7 + 612 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1373645484 + ... + 1373645556.

It is an arithmetic number, because the mean of its divisors is an integer number (408047544).

Almost surely, 2^100276122960 is an apocalyptic number.

100276122960 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 100276122960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195862821120).

100276122960 is an abundant number, since it is smaller than the sum of its proper divisors (291449519280).

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

100276122960 is a wasteful number, since it uses less digits than its factorization.

100276122960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 100276122960 its reverse (69221672001), we get a palindrome (169497794961).

The spelling of 100276122960 in words is "one hundred billion, two hundred seventy-six million, one hundred twenty-two thousand, nine hundred sixty".