2101101102020 has 48 divisors (see below), whose sum is σ = 4435333156800. Its totient is φ = 836066931840.

The previous prime is 2101101101971. The next prime is 2101101102029. The reversal of 2101101102020 is 202011011012.

It is a junction number, because it is equal to n+sod(n) for n = 2101101101992 and 2101101102010.

It is not an unprimeable number, because it can be changed into a prime (2101101102029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2592335 + ... + 3304905.

It is an arithmetic number, because the mean of its divisors is an integer number (92402774100).

Almost surely, 2^{2101101102020} is an apocalyptic number.

2101101102020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101101102020 is an abundant number, since it is smaller than the sum of its proper divisors (2334232054780).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101101102020 is a wasteful number, since it uses less digits than its factorization.

2101101102020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 713348 (or 713346 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 2101101102020 its reverse (202011011012), we get a palindrome (2303112113032).

The spelling of 2101101102020 in words is "two trillion, one hundred one billion, one hundred one million, one hundred two thousand, twenty".