102211100020 has 48 divisors (see below), whose sum is σ = 226953699840. Its totient is φ = 38558906496.

The previous prime is 102211100009. The next prime is 102211100027. The reversal of 102211100020 is 20001112201.

102211100020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 (102211100027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 518347 + ... + 687826.

It is an arithmetic number, because the mean of its divisors is an integer number (4728202080).

Almost surely, 2^102211100020 is an apocalyptic number.

102211100020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211100020 is an abundant number, since it is smaller than the sum of its proper divisors (124742599820).

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

102211100020 is a wasteful number, since it uses less digits than its factorization.

102211100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1206424 (or 1206422 counting only the distinct ones).

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

Adding to 102211100020 its reverse (20001112201), we get a palindrome (122212212221).

The spelling of 102211100020 in words is "one hundred two billion, two hundred eleven million, one hundred thousand, twenty".