102210021201101 has 16 divisors (see below), whose sum is σ = 111551908935168. Its totient is φ = 92876480832000.

The previous prime is 102210021201077. The next prime is 102210021201103. The reversal of 102210021201101 is 101102120012201.

It is a cyclic number.

It is not a de Polignac number, because 102210021201101 - 2¹⁴ = 102210021184717 is a prime.

It is a super-3 number, since 3×102210021201101³ (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210021201103) 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, 1072764401 + ... + 1072859673.

It is an arithmetic number, because the mean of its divisors is an integer number (6971994308448).

Almost surely, 2^{102210021201101} is an apocalyptic number.

102210021201101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102210021201101 is a deficient number, since it is larger than the sum of its proper divisors (9341887734067).

102210021201101 is a wasteful number, since it uses less digits than its factorization.

102210021201101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138052.

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

Adding to 102210021201101 its reverse (101102120012201), we get a palindrome (203312141213302).

The spelling of 102210021201101 in words is "one hundred two trillion, two hundred ten billion, twenty-one million, two hundred one thousand, one hundred one".