101202100211201 has 8 divisors (see below), whose sum is σ = 111314706770208. Its totient is φ = 92001909281700.

The previous prime is 101202100211183. The next prime is 101202100211203. The reversal of 101202100211201 is 102112001202101.

It is not a de Polignac number, because 101202100211201 - 2¹⁰ = 101202100210177 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101202100211203) 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 7 ways as a sum of consecutive naturals, for example, 38017316555 + ... + 38017319216.

It is an arithmetic number, because the mean of its divisors is an integer number (13914338346276).

Almost surely, 2^{101202100211201} is an apocalyptic number.

101202100211201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202100211201 is a deficient number, since it is larger than the sum of its proper divisors (10112606559007).

101202100211201 is an frugal number, since it uses more digits than its factorization.

101202100211201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76034635804 (or 76034635782 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101202100211201 its reverse (102112001202101), we get a palindrome (203314101413302).

The spelling of 101202100211201 in words is "one hundred one trillion, two hundred two billion, one hundred million, two hundred eleven thousand, two hundred one".