2121000010101 has 96 divisors (see below), whose sum is σ = 3723494860800. Its totient is φ = 1136432384640.

The previous prime is 2121000010069. The next prime is 2121000010147. The reversal of 2121000010101 is 1010100001212.

It is a happy number.

It is not a de Polignac number, because 2121000010101 - 2⁵ = 2121000010069 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2121000010501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126158986 + ... + 126175796.

It is an arithmetic number, because the mean of its divisors is an integer number (38786404800).

Almost surely, 2^{2121000010101} is an apocalyptic number.

2121000010101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2121000010101 is a deficient number, since it is larger than the sum of its proper divisors (1602494850699).

2121000010101 is a wasteful number, since it uses less digits than its factorization.

2121000010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17919 (or 17916 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2121000010101 its reverse (1010100001212), we get a palindrome (3131100011313).

The spelling of 2121000010101 in words is "two trillion, one hundred twenty-one billion, ten thousand, one hundred one".