2100101012111 has 8 divisors (see below), whose sum is σ = 2191804236384. Its totient is φ = 2008430661600.

The previous prime is 2100101012077. The next prime is 2100101012137. The reversal of 2100101012111 is 1112101010012.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2100101012111 is a prime.

It is a super-2 number, since 2×2100101012111² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100101012092 and 2100101012101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100101012011) 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, 8087840 + ... + 8343461.

It is an arithmetic number, because the mean of its divisors is an integer number (273975529548).

Almost surely, 2^{2100101012111} is an apocalyptic number.

2100101012111 is a deficient number, since it is larger than the sum of its proper divisors (91703224273).

2100101012111 is a wasteful number, since it uses less digits than its factorization.

2100101012111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16436881.

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

Adding to 2100101012111 its reverse (1112101010012), we get a palindrome (3212202022123).

The spelling of 2100101012111 in words is "two trillion, one hundred billion, one hundred one million, twelve thousand, one hundred eleven".