101211022200101 has 64 divisors (see below), whose sum is σ = 114393501573120. Its totient is φ = 88763391864000.

The previous prime is 101211022200083. The next prime is 101211022200107. The reversal of 101211022200101 is 101002220112101.

It is a cyclic number.

It is not a de Polignac number, because 101211022200101 - 2¹⁸ = 101211021937957 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101211022200107) 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 63 ways as a sum of consecutive naturals, for example, 11133096566 + ... + 11133105656.

It is an arithmetic number, because the mean of its divisors is an integer number (1787398462080).

Almost surely, 2^{101211022200101} is an apocalyptic number.

101211022200101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101211022200101 is a deficient number, since it is larger than the sum of its proper divisors (13182479373019).

101211022200101 is a wasteful number, since it uses less digits than its factorization.

101211022200101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10326.

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

Adding to 101211022200101 its reverse (101002220112101), we get a palindrome (202213242312202).

The spelling of 101211022200101 in words is "one hundred one trillion, two hundred eleven billion, twenty-two million, two hundred thousand, one hundred one".