1020101100102 has 96 divisors (see below), whose sum is σ = 2669552108640. Its totient is φ = 291457395936.

The previous prime is 1020101100097. The next prime is 1020101100103. The reversal of 1020101100102 is 2010011010201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020101100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2165463 + ... + 2594114.

It is an arithmetic number, because the mean of its divisors is an integer number (27807834465).

Almost surely, 2^{1020101100102} is an apocalyptic number.

1020101100102 is an abundant number, since it is smaller than the sum of its proper divisors (1649451008538).

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

1020101100102 is an frugal number, since it uses more digits than its factorization.

1020101100102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4759614 (or 4759589 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1020101100102 its reverse (2010011010201), we get a palindrome (3030112110303).

The spelling of 1020101100102 in words is "one trillion, twenty billion, one hundred one million, one hundred thousand, one hundred two".