2111102010101 has 8 divisors (see below), whose sum is σ = 2413949233344. Its totient is φ = 1808570092320.

The previous prime is 2111102010097. The next prime is 2111102010107. The reversal of 2111102010101 is 1010102011112.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2111102010101 - 2² = 2111102010097 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 (2111102010107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78812015 + ... + 78838796.

It is an arithmetic number, because the mean of its divisors is an integer number (301743654168).

Almost surely, 2^{2111102010101} is an apocalyptic number.

It is an amenable number.

2111102010101 is a deficient number, since it is larger than the sum of its proper divisors (302847223243).

2111102010101 is a wasteful number, since it uses less digits than its factorization.

2111102010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157652731.

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

Adding to 2111102010101 its reverse (1010102011112), we get a palindrome (3121204021213).

The spelling of 2111102010101 in words is "two trillion, one hundred eleven billion, one hundred two million, ten thousand, one hundred one".