1010001020100 has 144 divisors (see below), whose sum is σ = 2968889728896. Its totient is φ = 265068800000.

The previous prime is 1010001020089. The next prime is 1010001020101. The reversal of 1010001020100 is 10201000101.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

1010001020100 is a modest number, since divided by 1020100 gives 10100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1010001020101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4960300 + ... + 5159900.

It is an arithmetic number, because the mean of its divisors is an integer number (20617289784).

Almost surely, 2^{1010001020100} is an apocalyptic number.

1010001020100 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 1010001020100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1484444864448).

1010001020100 is an abundant number, since it is smaller than the sum of its proper divisors (1958888708796).

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

1010001020100 is a wasteful number, since it uses less digits than its factorization.

1010001020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199886 (or 199879 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1010001020100 its reverse (10201000101), we get a palindrome (1020202020201).

The spelling of 1010001020100 in words is "one trillion, ten billion, one million, twenty thousand, one hundred".