10121202210101 has 2 divisors, whose sum is σ = 10121202210102. Its totient is φ = 10121202210100.

The previous prime is 10121202210029. The next prime is 10121202210107. The reversal of 10121202210101 is 10101220212101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 5778975602500 + 4342226607601 = 2403950^2 + 2083801^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121202210101 - 2³⁴ = 10104022340917 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10121202210107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060601105050 + 5060601105051.

It is an arithmetic number, because the mean of its divisors is an integer number (5060601105051).

Almost surely, 2^{10121202210101} is an apocalyptic number.

It is an amenable number.

10121202210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121202210101 is an equidigital number, since it uses as much as digits as its factorization.

10121202210101 is an evil number, because the sum of its binary digits is even.

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

Adding to 10121202210101 its reverse (10101220212101), we get a palindrome (20222422422202).

The spelling of 10121202210101 in words is "ten trillion, one hundred twenty-one billion, two hundred two million, two hundred ten thousand, one hundred one".