201101002121122 has 8 divisors (see below), whose sum is σ = 302323332811500. Its totient is φ = 100326557850624.

The previous prime is 201101002121087. The next prime is 201101002121141. The reversal of 201101002121122 is 221121200101102.

It can be written as a sum of positive squares in 2 ways, for example, as 164239577728801 + 36861424392321 = 12815599^2 + 6071361^2 .

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

It is a super-2 number, since 2×201101002121122² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 201101002121096 and 201101002121105.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 111971603847 + ... + 111971605642.

Almost surely, 2^{201101002121122} is an apocalyptic number.

201101002121122 is a deficient number, since it is larger than the sum of its proper divisors (101222330690378).

201101002121122 is a wasteful number, since it uses less digits than its factorization.

201101002121122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223943209940.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 201101002121122 its reverse (221121200101102), we get a palindrome (422222202222224).

The spelling of 201101002121122 in words is "two hundred one trillion, one hundred one billion, two million, one hundred twenty-one thousand, one hundred twenty-two".