102100120122220 has 96 divisors (see below), whose sum is σ = 237976480530432. Its totient is φ = 36481816800000.

The previous prime is 102100120122113. The next prime is 102100120122229. The reversal of 102100120122220 is 22221021001201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102100120122194 and 102100120122203.

It is not an unprimeable number, because it can be changed into a prime (102100120122229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9460645 + ... + 17137795.

It is an arithmetic number, because the mean of its divisors is an integer number (2478921672192).

Almost surely, 2^{102100120122220} is an apocalyptic number.

102100120122220 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 102100120122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118988240265216).

102100120122220 is an abundant number, since it is smaller than the sum of its proper divisors (135876360408212).

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

102100120122220 is a wasteful number, since it uses less digits than its factorization.

102100120122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7678223 (or 7678221 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102100120122220 its reverse (22221021001201), we get a palindrome (124321141123421).

The spelling of 102100120122220 in words is "one hundred two trillion, one hundred billion, one hundred twenty million, one hundred twenty-two thousand, two hundred twenty".