1021010202100 has 108 divisors (see below), whose sum is σ = 2588678126496. Its totient is φ = 348518143680.

The previous prime is 1021010202097. The next prime is 1021010202103. The reversal of 1021010202100 is 12020101201.

It is an interprime number because it is at equal distance from previous prime (1021010202097) and next prime (1021010202103).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021010202103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 653337 + ... + 1571263.

It is an arithmetic number, because the mean of its divisors is an integer number (23969241912).

Almost surely, 2^{1021010202100} is an apocalyptic number.

1021010202100 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 1021010202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1294339063248).

1021010202100 is an abundant number, since it is smaller than the sum of its proper divisors (1567667924396).

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

1021010202100 is a wasteful number, since it uses less digits than its factorization.

1021010202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918182 (or 918168 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021010202100 its reverse (12020101201), we get a palindrome (1033030303301).

The spelling of 1021010202100 in words is "one trillion, twenty-one billion, ten million, two hundred two thousand, one hundred".