1020102201121 has 8 divisors (see below), whose sum is σ = 1020425978880. Its totient is φ = 1019778487392.

The previous prime is 1020102201077. The next prime is 1020102201137. The reversal of 1020102201121 is 1211022010201.

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 1020102201121 - 2²⁹ = 1019565330209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1020102208121) 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, 68997696 + ... + 69012478.

It is an arithmetic number, because the mean of its divisors is an integer number (127553247360).

Almost surely, 2^{1020102201121} is an apocalyptic number.

It is an amenable number.

1020102201121 is a deficient number, since it is larger than the sum of its proper divisors (323777759).

1020102201121 is a wasteful number, since it uses less digits than its factorization.

1020102201121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32015.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 1020102201121 its reverse (1211022010201), we get a palindrome (2231124211322).

The spelling of 1020102201121 in words is "one trillion, twenty billion, one hundred two million, two hundred one thousand, one hundred twenty-one".