102211020001121 has 8 divisors (see below), whose sum is σ = 102291347658600. Its totient is φ = 102130693947520.

The previous prime is 102211020001093. The next prime is 102211020001127. The reversal of 102211020001121 is 121100020112201.

It can be written as a sum of positive squares in 4 ways, for example, as 55835805296896 + 46375214704225 = 7472336^2 + 6809935^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 102211020001121 - 2⁴² = 97812973490017 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102211020001096 and 102211020001105.

It is not an unprimeable number, because it can be changed into a prime (102211020001127) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148899275 + ... + 149584143.

It is an arithmetic number, because the mean of its divisors is an integer number (12786418457325).

Almost surely, 2^{102211020001121} is an apocalyptic number.

It is an amenable number.

102211020001121 is a deficient number, since it is larger than the sum of its proper divisors (80327657479).

102211020001121 is a wasteful number, since it uses less digits than its factorization.

102211020001121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 801939.

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

Adding to 102211020001121 its reverse (121100020112201), we get a palindrome (223311040113322).

The spelling of 102211020001121 in words is "one hundred two trillion, two hundred eleven billion, twenty million, one thousand, one hundred twenty-one".