102102101121220 has 12 divisors (see below), whose sum is σ = 214414412354604. Its totient is φ = 40840840448480.

The previous prime is 102102101121133. The next prime is 102102101121221. The reversal of 102102101121220 is 22121101201201.

It can be written as a sum of positive squares in 2 ways, for example, as 13815330742404 + 88286770378816 = 3716898^2 + 9396104^2 .

It is a super-2 number, since 2×102102101121220² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102102101121194 and 102102101121203.

It is not an unprimeable number, because it can be changed into a prime (102102101121221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2552552528011 + ... + 2552552528050.

It is an arithmetic number, because the mean of its divisors is an integer number (17867867696217).

Almost surely, 2^{102102101121220} is an apocalyptic number.

102102101121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102102101121220 is an abundant number, since it is smaller than the sum of its proper divisors (112312311233384).

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

102102101121220 is a wasteful number, since it uses less digits than its factorization.

102102101121220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5105105056070 (or 5105105056068 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102102101121220 its reverse (22121101201201), we get a palindrome (124223202322421).

The spelling of 102102101121220 in words is "one hundred two trillion, one hundred two billion, one hundred one million, one hundred twenty-one thousand, two hundred twenty".