102212101102120 has 16 divisors (see below), whose sum is σ = 229977227479860. Its totient is φ = 40884840440832.

The previous prime is 102212101102073. The next prime is 102212101102121. The reversal of 102212101102120 is 21201101212201.

It can be written as a sum of positive squares in 2 ways, for example, as 101746237520356 + 465863581764 = 10086934^2 + 682542^2 .

It is a super-2 number, since 2×102212101102120² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102212101102094 and 102212101102103.

It is not an unprimeable number, because it can be changed into a prime (102212101102121) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1277651263737 + ... + 1277651263816.

Almost surely, 2^{102212101102120} is an apocalyptic number.

102212101102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212101102120 is an abundant number, since it is smaller than the sum of its proper divisors (127765126377740).

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

102212101102120 is a wasteful number, since it uses less digits than its factorization.

102212101102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2555302527564 (or 2555302527560 counting only the distinct ones).

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

Adding to 102212101102120 its reverse (21201101212201), we get a palindrome (123413202314321).

The spelling of 102212101102120 in words is "one hundred two trillion, two hundred twelve billion, one hundred one million, one hundred two thousand, one hundred twenty".