2101002111101 has 16 divisors (see below), whose sum is σ = 2268887490240. Its totient is φ = 1939504383360.

The previous prime is 2101002111097. The next prime is 2101002111113. The reversal of 2101002111101 is 1011112001012.

It is a cyclic number.

It is not a de Polignac number, because 2101002111101 - 2² = 2101002111097 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101002161101) 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, 9010070 + ... + 9240311.

It is an arithmetic number, because the mean of its divisors is an integer number (141805468140).

Almost surely, 2^{2101002111101} is an apocalyptic number.

It is an amenable number.

2101002111101 is a deficient number, since it is larger than the sum of its proper divisors (167885379139).

2101002111101 is a wasteful number, since it uses less digits than its factorization.

2101002111101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18250556.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2101002111101 its reverse (1011112001012), we get a palindrome (3112114112113).

The spelling of 2101002111101 in words is "two trillion, one hundred one billion, two million, one hundred eleven thousand, one hundred one".