10110212102120 has 32 divisors (see below), whose sum is σ = 24497821633320. Its totient is φ = 3733001391360.

The previous prime is 10110212102101. The next prime is 10110212102143. The reversal of 10110212102120 is 2120121201101.

It can be written as a sum of positive squares in 4 ways, for example, as 8260922169124 + 1849289932996 = 2874182^2 + 1359886^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10110212102095 and 10110212102104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9721357271 + ... + 9721358310.

Almost surely, 2^{10110212102120} is an apocalyptic number.

10110212102120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10110212102120 is an abundant number, since it is smaller than the sum of its proper divisors (14387609531200).

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

10110212102120 is a wasteful number, since it uses less digits than its factorization.

10110212102120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19442715605 (or 19442715601 counting only the distinct ones).

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

Adding to 10110212102120 its reverse (2120121201101), we get a palindrome (12230333303221).

The spelling of 10110212102120 in words is "ten trillion, one hundred ten billion, two hundred twelve million, one hundred two thousand, one hundred twenty".