2111021112101 has 16 divisors (see below), whose sum is σ = 2306232347328. Its totient is φ = 1916361638400.

The previous prime is 2111021111989. The next prime is 2111021112107. The reversal of 2111021112101 is 1012111201112.

It is not a de Polignac number, because 2111021112101 - 2¹⁴ = 2111021095717 is a prime.

It is a super-2 number, since 2×2111021112101² (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 (2111021112107) 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, 25419221 + ... + 25502133.

It is an arithmetic number, because the mean of its divisors is an integer number (144139521708).

Almost surely, 2^{2111021112101} is an apocalyptic number.

It is an amenable number.

2111021112101 is a deficient number, since it is larger than the sum of its proper divisors (195211235227).

2111021112101 is a wasteful number, since it uses less digits than its factorization.

2111021112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86212.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 2111021112101 its reverse (1012111201112), we get a palindrome (3123132313213).

The spelling of 2111021112101 in words is "two trillion, one hundred eleven billion, twenty-one million, one hundred twelve thousand, one hundred one".