101002122211133 has 72 divisors (see below), whose sum is σ = 127646905000320. Its totient is φ = 79196144152320.

The previous prime is 101002122211117. The next prime is 101002122211139. The reversal of 101002122211133 is 331112221200101.

It is not a de Polignac number, because 101002122211133 - 2⁴ = 101002122211117 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002122211139) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 47959388 + ... + 50021066.

It is an arithmetic number, because the mean of its divisors is an integer number (1772873680560).

Almost surely, 2^{101002122211133} is an apocalyptic number.

101002122211133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101002122211133 is a deficient number, since it is larger than the sum of its proper divisors (26644782789187).

101002122211133 is a wasteful number, since it uses less digits than its factorization.

101002122211133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2061827 (or 2061795 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 101002122211133 its reverse (331112221200101), we get a palindrome (432114343411234).

The spelling of 101002122211133 in words is "one hundred one trillion, two billion, one hundred twenty-two million, two hundred eleven thousand, one hundred thirty-three".