100121628672000 has 1536 divisors, whose sum is σ = 390450376723680. Its totient is φ = 24536678400000.

The previous prime is 100121628671993. The next prime is 100121628672041. The reversal of 100121628672000 is 276826121001.

100121628672000 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 1 + 628 + 6 + 7 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 3054049837056 + 97067578834944 = 1747584^2 + 9852288^2 .

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192172031740 + ... + 192172032260.

Almost surely, 2^{100121628672000} is an apocalyptic number.

100121628672000 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 100121628672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195225188361840).

100121628672000 is an abundant number, since it is smaller than the sum of its proper divisors (290328748051680).

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

100121628672000 is an equidigital number, since it uses as much as digits as its factorization.

100121628672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 100121628672000 in words is "one hundred trillion, one hundred twenty-one billion, six hundred twenty-eight million, six hundred seventy-two thousand".