2200011102101 has 2 divisors, whose sum is σ = 2200011102102. Its totient is φ = 2200011102100.

The previous prime is 2200011102089. The next prime is 2200011102109. The reversal of 2200011102101 is 1012011100022.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1832641770001 + 367369332100 = 1353751^2 + 606110^2 .

It is a cyclic number.

It is not a de Polignac number, because 2200011102101 - 2²⁶ = 2199943993237 is a prime.

It is a super-2 number, since 2×2200011102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2200011102109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1100005551050 + 1100005551051.

It is an arithmetic number, because the mean of its divisors is an integer number (1100005551051).

Almost surely, 2^{2200011102101} is an apocalyptic number.

It is an amenable number.

2200011102101 is a deficient number, since it is larger than the sum of its proper divisors (1).

2200011102101 is an equidigital number, since it uses as much as digits as its factorization.

2200011102101 is an evil number, because the sum of its binary digits is even.

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

Adding to 2200011102101 its reverse (1012011100022), we get a palindrome (3212022202123).

The spelling of 2200011102101 in words is "two trillion, two hundred billion, eleven million, one hundred two thousand, one hundred one".