102202001220121 has 16 divisors (see below), whose sum is σ = 118114605243648. Its totient is φ = 87398824902400.

The previous prime is 102202001220113. The next prime is 102202001220127. The reversal of 102202001220121 is 121022100202201.

It is a happy number.

It is not a de Polignac number, because 102202001220121 - 2³ = 102202001220113 is a prime.

It is a super-2 number, since 2×102202001220121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102202001220095 and 102202001220104.

It is not an unprimeable number, because it can be changed into a prime (102202001220127) 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, 145704310 + ... + 146404063.

It is an arithmetic number, because the mean of its divisors is an integer number (7382162827728).

Almost surely, 2^{102202001220121} is an apocalyptic number.

102202001220121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102202001220121 is a deficient number, since it is larger than the sum of its proper divisors (15912604023527).

102202001220121 is a wasteful number, since it uses less digits than its factorization.

102202001220121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292110272.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102202001220121 its reverse (121022100202201), we get a palindrome (223224101422322).

The spelling of 102202001220121 in words is "one hundred two trillion, two hundred two billion, one million, two hundred twenty thousand, one hundred twenty-one".