101202201100011 has 32 divisors (see below), whose sum is σ = 150182465273856. Its totient is φ = 60102893268000.

The previous prime is 101202201099971. The next prime is 101202201100037. The reversal of 101202201100011 is 110001102202101.

It is not a de Polignac number, because 101202201100011 - 2⁶ = 101202201099947 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101202201100011.

It is not an unprimeable number, because it can be changed into a prime (101202201100211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119400055 + ... + 120244656.

It is an arithmetic number, because the mean of its divisors is an integer number (4693202039808).

Almost surely, 2^{101202201100011} is an apocalyptic number.

101202201100011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

101202201100011 is a deficient number, since it is larger than the sum of its proper divisors (48980264173845).

101202201100011 is a wasteful number, since it uses less digits than its factorization.

101202201100011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239644983.

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

Adding to 101202201100011 its reverse (110001102202101), we get a palindrome (211203303302112).

The spelling of 101202201100011 in words is "one hundred one trillion, two hundred two billion, two hundred one million, one hundred thousand, eleven".