10001020961880 has 384 divisors, whose sum is σ = 35808284977920. Its totient is φ = 2405370470400.

The previous prime is 10001020961879. The next prime is 10001020961887. The reversal of 10001020961880 is 8816902010001.

10001020961880 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 10 + 20 + 9 + 618 + 8 + 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 not an unprimeable number, because it can be changed into a prime (10001020961887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132158134 + ... + 132233786.

It is an arithmetic number, because the mean of its divisors is an integer number (93250742130).

Almost surely, 2^{10001020961880} is an apocalyptic number.

10001020961880 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 10001020961880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17904142488960).

10001020961880 is an abundant number, since it is smaller than the sum of its proper divisors (25807264016040).

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

10001020961880 is a wasteful number, since it uses less digits than its factorization.

10001020961880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76331 (or 76324 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

Adding to 10001020961880 its reverse (8816902010001), we get a palindrome (18817922971881).

The spelling of 10001020961880 in words is "ten trillion, one billion, twenty million, nine hundred sixty-one thousand, eight hundred eighty".