2111122102101 has 16 divisors (see below), whose sum is σ = 2924137640448. Its totient is φ = 1353339000000.

The previous prime is 2111122102099. The next prime is 2111122102121. The reversal of 2111122102101 is 1012012211112.

It is a happy number.

It is not a de Polignac number, because 2111122102101 - 2¹ = 2111122102099 is a prime.

It is a super-2 number, since 2×2111122102101² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111122102121) 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, 72279150 + ... + 72308351.

It is an arithmetic number, because the mean of its divisors is an integer number (182758602528).

Almost surely, 2^{2111122102101} is an apocalyptic number.

It is an amenable number.

2111122102101 is a deficient number, since it is larger than the sum of its proper divisors (813015538347).

2111122102101 is a wasteful number, since it uses less digits than its factorization.

2111122102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144587692.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 2111122102101 its reverse (1012012211112), we get a palindrome (3123134313213).

The spelling of 2111122102101 in words is "two trillion, one hundred eleven billion, one hundred twenty-two million, one hundred two thousand, one hundred one".