102011002222120 has 128 divisors (see below), whose sum is σ = 238918797504000. Its totient is φ = 39152554577920.

The previous prime is 102011002222111. The next prime is 102011002222127. The reversal of 102011002222120 is 21222200110201.

It is a happy number.

It is a super-2 number, since 2×102011002222120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102011002222094 and 102011002222103.

It is not an unprimeable number, because it can be changed into a prime (102011002222127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 135750144 + ... + 136499536.

It is an arithmetic number, because the mean of its divisors is an integer number (1866553105500).

Almost surely, 2^{102011002222120} is an apocalyptic number.

102011002222120 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 102011002222120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119459398752000).

102011002222120 is an abundant number, since it is smaller than the sum of its proper divisors (136907795281880).

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

102011002222120 is a wasteful number, since it uses less digits than its factorization.

102011002222120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750163 (or 750159 counting only the distinct ones).

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

Adding to 102011002222120 its reverse (21222200110201), we get a palindrome (123233202332321).

The spelling of 102011002222120 in words is "one hundred two trillion, eleven billion, two million, two hundred twenty-two thousand, one hundred twenty".