101002212122001 has 4 divisors (see below), whose sum is σ = 134669616162672. Its totient is φ = 67334808081332.

The previous prime is 101002212121973. The next prime is 101002212122023. The reversal of 101002212122001 is 100221212200101.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 101002212122001 - 2⁵ = 101002212121969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (101002212122051) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16833702020331 + ... + 16833702020336.

It is an arithmetic number, because the mean of its divisors is an integer number (33667404040668).

Almost surely, 2^{101002212122001} is an apocalyptic number.

It is an amenable number.

101002212122001 is a deficient number, since it is larger than the sum of its proper divisors (33667404040671).

101002212122001 is an equidigital number, since it uses as much as digits as its factorization.

101002212122001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33667404040670.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101002212122001 its reverse (100221212200101), we get a palindrome (201223424322102).

The spelling of 101002212122001 in words is "one hundred one trillion, two billion, two hundred twelve million, one hundred twenty-two thousand, one".