101122011333101 has 16 divisors (see below), whose sum is σ = 111557903227200. Its totient is φ = 90895746384000.

The previous prime is 101122011333089. The next prime is 101122011333113. The reversal of 101122011333101 is 101333110221101.

It is an interprime number because it is at equal distance from previous prime (101122011333089) and next prime (101122011333113).

It is a cyclic number.

It is not a de Polignac number, because 101122011333101 - 2³⁸ = 100847133426157 is a prime.

It is a super-2 number, since 2×101122011333101² (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 (101122011333001) 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, 60761456 + ... + 62403513.

It is an arithmetic number, because the mean of its divisors is an integer number (6972368951700).

Almost surely, 2^{101122011333101} is an apocalyptic number.

101122011333101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101122011333101 is a deficient number, since it is larger than the sum of its proper divisors (10435891894099).

101122011333101 is a wasteful number, since it uses less digits than its factorization.

101122011333101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123165820.

The product of its (nonzero) digits is 108, while the sum is 20.

Adding to 101122011333101 its reverse (101333110221101), we get a palindrome (202455121554202).

It can be divided in two parts, 1011220 and 11333101, that added together give a palindrome (12344321).

The spelling of 101122011333101 in words is "one hundred one trillion, one hundred twenty-two billion, eleven million, three hundred thirty-three thousand, one hundred one".