101002101010100 has 72 divisors (see below), whose sum is σ = 221859119279448. Its totient is φ = 39907589529600.

The previous prime is 101002101010091. The next prime is 101002101010103. The reversal of 101002101010100 is 1010101200101.

It is a happy number.

101002101010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 9837682434064 + 91164418576036 = 3136508^2 + 9548006^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002101010103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4939187 + ... + 15046586.

It is an arithmetic number, because the mean of its divisors is an integer number (3081376656659).

Almost surely, 2^{101002101010100} is an apocalyptic number.

101002101010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002101010100 is an abundant number, since it is smaller than the sum of its proper divisors (120857018269348).

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

101002101010100 is a wasteful number, since it uses less digits than its factorization.

101002101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19986405 (or 19986398 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101002101010100 its reverse (1010101200101), we get a palindrome (102012202210201).

The spelling of 101002101010100 in words is "one hundred one trillion, two billion, one hundred one million, ten thousand, one hundred".