2101022011101 has 16 divisors (see below), whose sum is σ = 3047953692224. Its totient is φ = 1279607376384.

The previous prime is 2101022011079. The next prime is 2101022011111. The reversal of 2101022011101 is 1011102201012.

It is not a de Polignac number, because 2101022011101 - 2⁵ = 2101022011069 is a prime.

It is a super-2 number, since 2×2101022011101² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022011111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 277688791 + ... + 277696356.

It is an arithmetic number, because the mean of its divisors is an integer number (190497105764).

Almost surely, 2^{2101022011101} is an apocalyptic number.

It is an amenable number.

2101022011101 is a deficient number, since it is larger than the sum of its proper divisors (946931681123).

2101022011101 is a wasteful number, since it uses less digits than its factorization.

2101022011101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 555385260.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2101022011101 its reverse (1011102201012), we get a palindrome (3112124212113).

The spelling of 2101022011101 in words is "two trillion, one hundred one billion, twenty-two million, eleven thousand, one hundred one".