101211021100101 has 64 divisors (see below), whose sum is σ = 150339526154496. Its totient is φ = 60051124224000.

The previous prime is 101211021100081. The next prime is 101211021100153. The reversal of 101211021100101 is 101001120112101.

It is not a de Polignac number, because 101211021100101 - 2¹³ = 101211021091909 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211021100901) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4685467701 + ... + 4685489301.

It is an arithmetic number, because the mean of its divisors is an integer number (2349055096164).

Almost surely, 2^{101211021100101} is an apocalyptic number.

101211021100101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211021100101 is a deficient number, since it is larger than the sum of its proper divisors (49128505054395).

101211021100101 is a wasteful number, since it uses less digits than its factorization.

101211021100101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36022.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 101211021100101 its reverse (101001120112101), we get a palindrome (202212141212202).

The spelling of 101211021100101 in words is "one hundred one trillion, two hundred eleven billion, twenty-one million, one hundred thousand, one hundred one".