1010000100102 has 64 divisors (see below), whose sum is σ = 2334484938240. Its totient is φ = 285337691136.

The previous prime is 1010000100101. The next prime is 1010000100163. The reversal of 1010000100102 is 2010010000101.

1010000100102 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010000100101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4406293 + ... + 4629839.

It is an arithmetic number, because the mean of its divisors is an integer number (36476327160).

Almost surely, 2^{1010000100102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010000100102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167242469120).

1010000100102 is an abundant number, since it is smaller than the sum of its proper divisors (1324484838138).

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

1010000100102 is a wasteful number, since it uses less digits than its factorization.

1010000100102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224765.

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

Adding to 1010000100102 its reverse (2010010000101), we get a palindrome (3020010100203).

The spelling of 1010000100102 in words is "one trillion, ten billion, one hundred thousand, one hundred two".