102210000211101 has 8 divisors (see below), whose sum is σ = 136281452189184. Its totient is φ = 68139274186880.

The previous prime is 102210000211063. The next prime is 102210000211139. The reversal of 102210000211101 is 101112000012201.

It is an interprime number because it is at equal distance from previous prime (102210000211063) and next prime (102210000211139).

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 102210000211101 - 2¹⁴ = 102210000194717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102210000211201) 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, 181159860 + ... + 181723181.

It is an arithmetic number, because the mean of its divisors is an integer number (17035181523648).

Almost surely, 2^{102210000211101} is an apocalyptic number.

It is an amenable number.

102210000211101 is a deficient number, since it is larger than the sum of its proper divisors (34071451978083).

102210000211101 is an equidigital number, since it uses as much as digits as its factorization.

102210000211101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362976931.

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

Adding to 102210000211101 its reverse (101112000012201), we get a palindrome (203322000223302).

The spelling of 102210000211101 in words is "one hundred two trillion, two hundred ten billion, two hundred eleven thousand, one hundred one".