102101020201110 has 128 divisors (see below), whose sum is σ = 291944538759168. Its totient is φ = 22360947840000.

The previous prime is 102101020201097. The next prime is 102101020201111. The reversal of 102101020201110 is 11102020101201.

It is a super-2 number, since 2×102101020201110² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102101020201111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 76984671 + ... + 78299690.

It is an arithmetic number, because the mean of its divisors is an integer number (2280816709056).

Almost surely, 2^{102101020201110} is an apocalyptic number.

102101020201110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102101020201110 is an abundant number, since it is smaller than the sum of its proper divisors (189843518558058).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102101020201110 is a wasteful number, since it uses less digits than its factorization.

102101020201110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155284510.

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

Adding to 102101020201110 its reverse (11102020101201), we get a palindrome (113203040302311).

Subtracting from 102101020201110 its reverse (11102020101201), we obtain a palindrome (90999000099909).

The spelling of 102101020201110 in words is "one hundred two trillion, one hundred one billion, twenty million, two hundred one thousand, one hundred ten".