10212121100101 has 16 divisors (see below), whose sum is σ = 10408928440320. Its totient is φ = 10017148901760.

The previous prime is 10212121100003. The next prime is 10212121100131. The reversal of 10212121100101 is 10100112121201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10212121100101 - 2²⁷ = 10211986882373 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10212121100131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226274800 + ... + 226319926.

It is an arithmetic number, because the mean of its divisors is an integer number (650558027520).

Almost surely, 2^{10212121100101} is an apocalyptic number.

It is an amenable number.

10212121100101 is a deficient number, since it is larger than the sum of its proper divisors (196807340219).

10212121100101 is a wasteful number, since it uses less digits than its factorization.

10212121100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65364.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 10212121100101 its reverse (10100112121201), we get a palindrome (20312233221302).

It can be divided in two parts, 10212121100 and 101, that added together give a palindrome (10212121201).

The spelling of 10212121100101 in words is "ten trillion, two hundred twelve billion, one hundred twenty-one million, one hundred thousand, one hundred one".