101202002211101 has 16 divisors (see below), whose sum is σ = 110990641041600. Its totient is φ = 91511580625920.

The previous prime is 101202002211053. The next prime is 101202002211131. The reversal of 101202002211101 is 101112200202101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101202002211101 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 (101202002211131) 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 15 ways as a sum of consecutive naturals, for example, 10833575 + ... + 17882123.

It is an arithmetic number, because the mean of its divisors is an integer number (6936915065100).

Almost surely, 2^{101202002211101} is an apocalyptic number.

101202002211101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101202002211101 is a deficient number, since it is larger than the sum of its proper divisors (9788638830499).

101202002211101 is a wasteful number, since it uses less digits than its factorization.

101202002211101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7055516.

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

Adding to 101202002211101 its reverse (101112200202101), we get a palindrome (202314202413202).

The spelling of 101202002211101 in words is "one hundred one trillion, two hundred two billion, two million, two hundred eleven thousand, one hundred one".