10102201220101 has 4 divisors (see below), whose sum is σ = 10102276329804. Its totient is φ = 10102126110400.

The previous prime is 10102201220063. The next prime is 10102201220131. The reversal of 10102201220101 is 10102210220101.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 765668750625 + 9336532469476 = 875025^2 + 3055574^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102201220101 - 2³⁷ = 9964762266629 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 (10102201220131) 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, 37352740 + ... + 37622221.

It is an arithmetic number, because the mean of its divisors is an integer number (2525569082451).

Almost surely, 2^{10102201220101} is an apocalyptic number.

It is an amenable number.

10102201220101 is a deficient number, since it is larger than the sum of its proper divisors (75109703).

10102201220101 is an equidigital number, since it uses as much as digits as its factorization.

10102201220101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75109702.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10102201220101 its reverse (10102210220101), we get a palindrome (20204411440202).

Subtracting 10102201220101 from its reverse (10102210220101), we obtain a square (9000000 = 3000²).

The spelling of 10102201220101 in words is "ten trillion, one hundred two billion, two hundred one million, two hundred twenty thousand, one hundred one".