101011021201101 has 32 divisors (see below), whose sum is σ = 147093123456000. Its totient is φ = 61148805569280.

The previous prime is 101011021201093. The next prime is 101011021201117. The reversal of 101011021201101 is 101102120110101.

It is not a de Polignac number, because 101011021201101 - 2³ = 101011021201093 is a prime.

It is a super-2 number, since 2×101011021201101² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011021201001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 951722805 + ... + 951828933.

It is an arithmetic number, because the mean of its divisors is an integer number (4596660108000).

Almost surely, 2^{101011021201101} is an apocalyptic number.

101011021201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101011021201101 is a deficient number, since it is larger than the sum of its proper divisors (46082102254899).

101011021201101 is a wasteful number, since it uses less digits than its factorization.

101011021201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138849.

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

Adding to 101011021201101 its reverse (101102120110101), we get a palindrome (202113141311202).

The spelling of 101011021201101 in words is "one hundred one trillion, eleven billion, twenty-one million, two hundred one thousand, one hundred one".