101011201120101 has 16 divisors (see below), whose sum is σ = 137523099176064. Its totient is φ = 65933518719744.

The previous prime is 101011201120097. The next prime is 101011201120157. The reversal of 101011201120101 is 101021102110101.

It is not a de Polignac number, because 101011201120101 - 2² = 101011201120097 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011201120001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1683321681 + ... + 1683381686.

It is an arithmetic number, because the mean of its divisors is an integer number (8595193698504).

Almost surely, 2^{101011201120101} is an apocalyptic number.

It is an amenable number.

101011201120101 is a deficient number, since it is larger than the sum of its proper divisors (36511898055963).

101011201120101 is a wasteful number, since it uses less digits than its factorization.

101011201120101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3366703580.

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

Adding to 101011201120101 its reverse (101021102110101), we get a palindrome (202032303230202).

The spelling of 101011201120101 in words is "one hundred one trillion, eleven billion, two hundred one million, one hundred twenty thousand, one hundred one".