101021002010000 has 100 divisors (see below), whose sum is σ = 244602980037900. Its totient is φ = 40404926016000.

The previous prime is 101021002009979. The next prime is 101021002010003. The reversal of 101021002010000 is 10200120101.

It can be written as a sum of positive squares in 10 ways, for example, as 98271613545616 + 2749388464384 = 9913204^2 + 1658128^2 .

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 101021002010000.

It is not an unprimeable number, because it can be changed into a prime (101021002010003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 117461546 + ... + 118318454.

It is an arithmetic number, because the mean of its divisors is an integer number (2446029800379).

Almost surely, 2^{101021002010000} is an apocalyptic number.

101021002010000 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 101021002010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122301490018950).

101021002010000 is an abundant number, since it is smaller than the sum of its proper divisors (143581978027900).

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

101021002010000 is an equidigital number, since it uses as much as digits as its factorization.

101021002010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868726 (or 868705 counting only the distinct ones).

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

Adding to 101021002010000 its reverse (10200120101), we get a palindrome (101031202130101).

The spelling of 101021002010000 in words is "one hundred one trillion, twenty-one billion, two million, ten thousand".