1010002000100 has 36 divisors (see below), whose sum is σ = 2191927850868. Its totient is φ = 403959600000.

The previous prime is 1010002000081. The next prime is 1010002000109. The reversal of 1010002000100 is 10002000101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 268622450944 + 741379549156 = 518288^2 + 861034^2 .

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (1010002000109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 480050 + ... + 1500150.

Almost surely, 2^{1010002000100} is an apocalyptic number.

1010002000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010002000100 is an abundant number, since it is smaller than the sum of its proper divisors (1181925850768).

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

1010002000100 is a wasteful number, since it uses less digits than its factorization.

1010002000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030016 (or 1030009 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 1010002000100 its reverse (10002000101), we get a palindrome (1020004000201).

Subtracting from 1010002000100 its reverse (10002000101), we obtain a palindrome (999999999999).

The spelling of 1010002000100 in words is "one trillion, ten billion, two million, one hundred", and thus it is an aban number.