102211000020 has 144 divisors (see below), whose sum is σ = 326186694288. Its totient is φ = 25872721920.

The previous prime is 102211000019. The next prime is 102211000049. The reversal of 102211000020 is 20000112201.

It can be written as a sum of positive squares in 8 ways, for example, as 12002078916 + 90208921104 = 109554^2 + 300348^2 .

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 = 102210999966 and 102211000011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85902 + ... + 460218.

It is an arithmetic number, because the mean of its divisors is an integer number (2265185377).

Almost surely, 2^102211000020 is an apocalyptic number.

102211000020 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 102211000020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163093347144).

102211000020 is an abundant number, since it is smaller than the sum of its proper divisors (223975694268).

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

102211000020 is a wasteful number, since it uses less digits than its factorization.

102211000020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374410 (or 374405 counting only the distinct ones).

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

Adding to 102211000020 its reverse (20000112201), we get a palindrome (122211112221).

The spelling of 102211000020 in words is "one hundred two billion, two hundred eleven million, twenty", and thus it is an aban number.