2111010100101 has 32 divisors (see below), whose sum is σ = 3586826757120. Its totient is φ = 1202028941232.

The previous prime is 2111010100037. The next prime is 2111010100109. The reversal of 2111010100101 is 1010010101112.

It is not a de Polignac number, because 2111010100101 - 2⁶ = 2111010100037 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111010100109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19680375 + ... + 19787348.

It is an arithmetic number, because the mean of its divisors is an integer number (112088336160).

Almost surely, 2^{2111010100101} is an apocalyptic number.

2111010100101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2111010100101 is a deficient number, since it is larger than the sum of its proper divisors (1475816657019).

2111010100101 is a wasteful number, since it uses less digits than its factorization.

2111010100101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39468022 (or 39468016 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2111010100101 its reverse (1010010101112), we get a palindrome (3121020201213).

The spelling of 2111010100101 in words is "two trillion, one hundred eleven billion, ten million, one hundred thousand, one hundred one".