101120111210101 has 2 divisors, whose sum is σ = 101120111210102. Its totient is φ = 101120111210100.

The previous prime is 101120111210039. The next prime is 101120111210227. The reversal of 101120111210101 is 101012111021101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64918890815076 + 36201220395025 = 8057226^2 + 6016745^2 .

It is a cyclic number.

It is not a de Polignac number, because 101120111210101 - 2²¹ = 101120109112949 is a prime.

It is a super-2 number, since 2×101120111210101² (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 (101120111210401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50560055605050 + 50560055605051.

It is an arithmetic number, because the mean of its divisors is an integer number (50560055605051).

Almost surely, 2^{101120111210101} is an apocalyptic number.

It is an amenable number.

101120111210101 is a deficient number, since it is larger than the sum of its proper divisors (1).

101120111210101 is an equidigital number, since it uses as much as digits as its factorization.

101120111210101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101120111210101 its reverse (101012111021101), we get a palindrome (202132222231202).

The spelling of 101120111210101 in words is "one hundred one trillion, one hundred twenty billion, one hundred eleven million, two hundred ten thousand, one hundred one".