102121100221001 has 16 divisors (see below), whose sum is σ = 104587624491840. Its totient is φ = 99675656034240.

The previous prime is 102121100220959. The next prime is 102121100221009. The reversal of 102121100221001 is 100122001121201.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102121100221001 is a prime.

It is a super-3 number, since 3×102121100221001³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102121100221009) 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, 4493846 + ... + 14981216.

It is an arithmetic number, because the mean of its divisors is an integer number (6536726530740).

Almost surely, 2^{102121100221001} is an apocalyptic number.

It is an amenable number.

102121100221001 is a deficient number, since it is larger than the sum of its proper divisors (2466524270839).

102121100221001 is a wasteful number, since it uses less digits than its factorization.

102121100221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10488376.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102121100221001 its reverse (100122001121201), we get a palindrome (202243101342202).

The spelling of 102121100221001 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred million, two hundred twenty-one thousand, one".