101111020010101 has 8 divisors (see below), whose sum is σ = 105510209169600. Its totient is φ = 96712085671872.

The previous prime is 101111020010069. The next prime is 101111020010137. The reversal of 101111020010101 is 101010020111101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101111020010101 - 2⁵ = 101111020010069 is a prime.

It is a super-2 number, since 2×101111020010101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111020010141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62894251 + ... + 64481848.

It is an arithmetic number, because the mean of its divisors is an integer number (13188776146200).

Almost surely, 2^{101111020010101} is an apocalyptic number.

It is an amenable number.

101111020010101 is a deficient number, since it is larger than the sum of its proper divisors (4399189159499).

101111020010101 is a wasteful number, since it uses less digits than its factorization.

101111020010101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127410635.

The product of its (nonzero) digits is 2, while the sum is 10.

Adding to 101111020010101 its reverse (101010020111101), we get a palindrome (202121040121202).

The spelling of 101111020010101 in words is "one hundred one trillion, one hundred eleven billion, twenty million, ten thousand, one hundred one".