2100010101121 has 8 divisors (see below), whose sum is σ = 2117206203840. Its totient is φ = 2082843828912.

The previous prime is 2100010101103. The next prime is 2100010101127. The reversal of 2100010101121 is 1211010100012.

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 2100010101121 - 2¹¹ = 2100010099073 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2100010101098 and 2100010101107.

It is not an unprimeable number, because it can be changed into a prime (2100010101127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7316245 + ... + 7597858.

It is an arithmetic number, because the mean of its divisors is an integer number (264650775480).

Almost surely, 2^{2100010101121} is an apocalyptic number.

It is an amenable number.

2100010101121 is a deficient number, since it is larger than the sum of its proper divisors (17196102719).

2100010101121 is a wasteful number, since it uses less digits than its factorization.

2100010101121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14915255.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 2100010101121 its reverse (1211010100012), we get a palindrome (3311020201133).

The spelling of 2100010101121 in words is "two trillion, one hundred billion, ten million, one hundred one thousand, one hundred twenty-one".