2100121022101 has 16 divisors (see below), whose sum is σ = 2109005090928. Its totient is φ = 2091262924800.

The previous prime is 2100121022093. The next prime is 2100121022107. The reversal of 2100121022101 is 1012201210012.

It can be written as a sum of positive squares in 8 ways, for example, as 17081183025 + 2083039839076 = 130695^2 + 1443274^2 .

It is a cyclic number.

It is not a de Polignac number, because 2100121022101 - 2³ = 2100121022093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2100121022107) 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, 418264971 + ... + 418269991.

It is an arithmetic number, because the mean of its divisors is an integer number (131812818183).

Almost surely, 2^{2100121022101} is an apocalyptic number.

It is an amenable number.

2100121022101 is a deficient number, since it is larger than the sum of its proper divisors (8884068827).

2100121022101 is an equidigital number, since it uses as much as digits as its factorization.

2100121022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7272.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2100121022101 its reverse (1012201210012), we get a palindrome (3112322232113).

The spelling of 2100121022101 in words is "two trillion, one hundred billion, one hundred twenty-one million, twenty-two thousand, one hundred one".