2101022101101 has 64 divisors (see below), whose sum is σ = 3615549696000. Its totient is φ = 1053073056000.

The previous prime is 2101022101081. The next prime is 2101022101151. The reversal of 2101022101101 is 1011012201012.

It is not a de Polignac number, because 2101022101101 - 2¹⁰ = 2101022100077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101022101151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9612175 + ... + 9828323.

It is an arithmetic number, because the mean of its divisors is an integer number (56492964000).

Almost surely, 2^{2101022101101} is an apocalyptic number.

2101022101101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2101022101101 is a deficient number, since it is larger than the sum of its proper divisors (1514527594899).

2101022101101 is a wasteful number, since it uses less digits than its factorization.

2101022101101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217650.

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

Adding to 2101022101101 its reverse (1011012201012), we get a palindrome (3112034302113).

The spelling of 2101022101101 in words is "two trillion, one hundred one billion, twenty-two million, one hundred one thousand, one hundred one".