10212122140100 has 36 divisors (see below), whose sum is σ = 22163287997844. Its totient is φ = 4084299002880.

The previous prime is 10212122140079. The next prime is 10212122140109. The reversal of 10212122140100 is 104122121201.

10212122140100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2883536817604 + 7328585322496 = 1698098^2 + 2707136^2 .

It is not an unprimeable number, because it can be changed into a prime (10212122140109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6126149 + ... + 7612748.

It is an arithmetic number, because the mean of its divisors is an integer number (615646888829).

Almost surely, 2^{10212122140100} is an apocalyptic number.

10212122140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212122140100 is an abundant number, since it is smaller than the sum of its proper divisors (11951165857744).

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

10212122140100 is a wasteful number, since it uses less digits than its factorization.

10212122140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13746344 (or 13746337 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 10212122140100 its reverse (104122121201), we get a palindrome (10316244261301).

The spelling of 10212122140100 in words is "ten trillion, two hundred twelve billion, one hundred twenty-two million, one hundred forty thousand, one hundred".