101021120000 has 100 divisors (see below), whose sum is σ = 252226227396. Its totient is φ = 40408320000.

The previous prime is 101021119999. The next prime is 101021120041. The reversal of 101021120000 is 21120101.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 101021120000.

It is a congruent number.

It is an unprimeable number.

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 9 ways as a sum of consecutive naturals, for example, 162155 + ... + 477845.

Almost surely, 2^101021120000 is an apocalyptic number.

101021120000 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 101021120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126113113698).

101021120000 is an abundant number, since it is smaller than the sum of its proper divisors (151205107396).

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

101021120000 is an frugal number, since it uses more digits than its factorization.

101021120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315729 (or 315698 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101021120000 its reverse (21120101), we get a palindrome (101042240101).

The spelling of 101021120000 in words is "one hundred one billion, twenty-one million, one hundred twenty thousand".