102212101110020 has 96 divisors (see below), whose sum is σ = 234664277299200. Its totient is φ = 37087786736000.

The previous prime is 102212101109983. The next prime is 102212101110143. The reversal of 102212101110020 is 20011101212201.

It is a super-2 number, since 2×102212101110020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212101109977 and 102212101110004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2042133995 + ... + 2042184045.

It is an arithmetic number, because the mean of its divisors is an integer number (2444419555200).

Almost surely, 2^{102212101110020} is an apocalyptic number.

102212101110020 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 102212101110020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117332138649600).

102212101110020 is an abundant number, since it is smaller than the sum of its proper divisors (132452176189180).

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

102212101110020 is a wasteful number, since it uses less digits than its factorization.

102212101110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69929 (or 69927 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102212101110020 its reverse (20011101212201), we get a palindrome (122223202322221).

The spelling of 102212101110020 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, one hundred ten thousand, twenty".