202201000101101 has 2 divisors, whose sum is σ = 202201000101102. Its totient is φ = 202201000101100.

The previous prime is 202201000101041. The next prime is 202201000101131. The reversal of 202201000101101 is 101101000102202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202193753665225 + 7246435876 = 14219485^2 + 85126^2 .

It is a cyclic number.

It is not a de Polignac number, because 202201000101101 - 2⁴⁶ = 131832255923437 is a prime.

It is a super-2 number, since 2×202201000101101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (202201000101131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 101100500050550 + 101100500050551.

It is an arithmetic number, because the mean of its divisors is an integer number (101100500050551).

Almost surely, 2^{202201000101101} is an apocalyptic number.

It is an amenable number.

202201000101101 is a deficient number, since it is larger than the sum of its proper divisors (1).

202201000101101 is an equidigital number, since it uses as much as digits as its factorization.

202201000101101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 202201000101101 its reverse (101101000102202), we get a palindrome (303302000203303).

The spelling of 202201000101101 in words is "two hundred two trillion, two hundred one billion, one hundred one thousand, one hundred one".