101122202001 has 8 divisors (see below), whose sum is σ = 134837431264. Its totient is φ = 67410887040.

The previous prime is 101122201981. The next prime is 101122202003. The reversal of 101122202001 is 100202221101.

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

It is not a de Polignac number, because 101122202001 - 2⁶ = 101122201937 is a prime.

It is a super-3 number, since 3×101122202001³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101122202003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 917755 + ... + 1022016.

It is an arithmetic number, because the mean of its divisors is an integer number (16854678908).

Almost surely, 2^101122202001 is an apocalyptic number.

It is an amenable number.

101122202001 is a deficient number, since it is larger than the sum of its proper divisors (33715229263).

101122202001 is a wasteful number, since it uses less digits than its factorization.

101122202001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1957151.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101122202001 its reverse (100202221101), we get a palindrome (201324423102).

The spelling of 101122202001 in words is "one hundred one billion, one hundred twenty-two million, two hundred two thousand, one".