102101100220 has 24 divisors (see below), whose sum is σ = 245042640864. Its totient is φ = 35006091456.

The previous prime is 102101100161. The next prime is 102101100229. The reversal of 102101100220 is 22001101201.

102101100220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102101100220² (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 102101100197 and 102101100206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101100229) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 364646647 + ... + 364646926.

It is an arithmetic number, because the mean of its divisors is an integer number (10210110036).

Almost surely, 2^102101100220 is an apocalyptic number.

102101100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101100220 is an abundant number, since it is smaller than the sum of its proper divisors (142941540644).

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

102101100220 is a wasteful number, since it uses less digits than its factorization.

102101100220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729293589 (or 729293587 counting only the distinct ones).

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

Adding to 102101100220 its reverse (22001101201), we get a palindrome (124102201421).

The spelling of 102101100220 in words is "one hundred two billion, one hundred one million, one hundred thousand, two hundred twenty".