2012121102101 has 16 divisors (see below), whose sum is σ = 2196386903808. Its totient is φ = 1828079995200.

The previous prime is 2012121102067. The next prime is 2012121102239. The reversal of 2012121102101 is 1012011212102.

It is a cyclic number.

It is not a de Polignac number, because 2012121102101 - 2²² = 2012116907797 is a prime.

It is a super-2 number, since 2×2012121102101² (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 (2012121102601) 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, 154332755 + ... + 154345791.

It is an arithmetic number, because the mean of its divisors is an integer number (137274181488).

Almost surely, 2^{2012121102101} is an apocalyptic number.

It is an amenable number.

2012121102101 is a deficient number, since it is larger than the sum of its proper divisors (184265801707).

2012121102101 is a wasteful number, since it uses less digits than its factorization.

2012121102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20572.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 2012121102101 its reverse (1012011212102), we get a palindrome (3024132314203).

The spelling of 2012121102101 in words is "two trillion, twelve billion, one hundred twenty-one million, one hundred two thousand, one hundred one".