2101012101121 has 8 divisors (see below), whose sum is σ = 2140826685480. Its totient is φ = 2061203918592.

The previous prime is 2101012101119. The next prime is 2101012101131. The reversal of 2101012101121 is 1211012101012.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1524121600 + 2099487979521 = 39040^2 + 1448961^2 .

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 2101012101121 - 2¹ = 2101012101119 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2101012101131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 935266 + ... + 2253163.

It is an arithmetic number, because the mean of its divisors is an integer number (267603335685).

Almost surely, 2^{2101012101121} is an apocalyptic number.

It is an amenable number.

2101012101121 is a deficient number, since it is larger than the sum of its proper divisors (39814584359).

2101012101121 is a wasteful number, since it uses less digits than its factorization.

2101012101121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3200915.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 2101012101121 its reverse (1211012101012), we get a palindrome (3312024202133).

The spelling of 2101012101121 in words is "two trillion, one hundred one billion, twelve million, one hundred one thousand, one hundred twenty-one".