7890100100100 has 216 divisors, whose sum is σ = 26251171645608. Its totient is φ = 1975320576000.

The previous prime is 7890100100093. The next prime is 7890100100173. The reversal of 7890100100100 is 10010010987.

It can be written as a sum of positive squares in 12 ways, for example, as 268657695684 + 7621442404416 = 518322^2 + 2760696^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5492292 + ... + 6778308.

It is an arithmetic number, because the mean of its divisors is an integer number (121533202063).

Almost surely, 2^{7890100100100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7890100100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13125585822804).

7890100100100 is an abundant number, since it is smaller than the sum of its proper divisors (18361071545508).

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

7890100100100 is a wasteful number, since it uses less digits than its factorization.

7890100100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1286455 (or 1286445 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 27.

The spelling of 7890100100100 in words is "seven trillion, eight hundred ninety billion, one hundred million, one hundred thousand, one hundred".