102210001020 has 144 divisors (see below), whose sum is σ = 319264414560. Its totient is φ = 26448726528.

The previous prime is 102210000967. The next prime is 102210001063. The reversal of 102210001020 is 20100012201.

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

It is a junction number, because it is equal to n+sod(n) for n = 102210000993 and 102210001011.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2503894 + ... + 2544386.

It is an arithmetic number, because the mean of its divisors is an integer number (2217113990).

Almost surely, 2^102210001020 is an apocalyptic number.

102210001020 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 102210001020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159632207280).

102210001020 is an abundant number, since it is smaller than the sum of its proper divisors (217054413540).

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

102210001020 is a wasteful number, since it uses less digits than its factorization.

102210001020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40924 (or 40919 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 102210001020 its reverse (20100012201), we get a palindrome (122310013221).

The spelling of 102210001020 in words is "one hundred two billion, two hundred ten million, one thousand, twenty".