2121012001101 has 32 divisors (see below), whose sum is σ = 3337065750528. Its totient is φ = 1172632547520.

The previous prime is 2121012001091. The next prime is 2121012001111. The reversal of 2121012001101 is 1011002101212.

It is an interprime number because it is at equal distance from previous prime (2121012001091) and next prime (2121012001111).

It is not a de Polignac number, because 2121012001101 - 2²⁶ = 2120944892237 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121012001111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2385670 + ... + 3151736.

It is an arithmetic number, because the mean of its divisors is an integer number (104283304704).

Almost surely, 2^{2121012001101} is an apocalyptic number.

2121012001101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121012001101 is a deficient number, since it is larger than the sum of its proper divisors (1216053749427).

2121012001101 is a wasteful number, since it uses less digits than its factorization.

2121012001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770361.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 2121012001101 its reverse (1011002101212), we get a palindrome (3132014102313).

The spelling of 2121012001101 in words is "two trillion, one hundred twenty-one billion, twelve million, one thousand, one hundred one".