10102100101221 has 8 divisors (see below), whose sum is σ = 13469481885024. Its totient is φ = 6734725859120.

The previous prime is 10102100101193. The next prime is 10102100101231. The reversal of 10102100101221 is 12210100120101.

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 10102100101221 - 2³⁹ = 9552344287333 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10102100101197 and 10102100101206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102100101231) 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, 3198190 + ... + 5516576.

It is an arithmetic number, because the mean of its divisors is an integer number (1683685235628).

Almost surely, 2^{10102100101221} is an apocalyptic number.

It is an amenable number.

10102100101221 is a deficient number, since it is larger than the sum of its proper divisors (3367381783803).

10102100101221 is a wasteful number, since it uses less digits than its factorization.

10102100101221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3770851.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10102100101221 its reverse (12210100120101), we get a palindrome (22312200221322).

The spelling of 10102100101221 in words is "ten trillion, one hundred two billion, one hundred million, one hundred one thousand, two hundred twenty-one".