102201221122110 has 64 divisors (see below), whose sum is σ = 297312643272960. Its totient is φ = 24776053604640.

The previous prime is 102201221122109. The next prime is 102201221122111. The reversal of 102201221122110 is 11221122102201.

102201221122110 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 2 + 211 + 221 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (102201221122109) and next prime (102201221122111).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102201221122111) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17205589812 + ... + 17205595751.

It is an arithmetic number, because the mean of its divisors is an integer number (4645510051140).

Almost surely, 2^{102201221122110} is an apocalyptic number.

102201221122110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102201221122110 is an abundant number, since it is smaller than the sum of its proper divisors (195111422150850).

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

102201221122110 is a wasteful number, since it uses less digits than its factorization.

102201221122110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34411185590 (or 34411185584 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201221122110 its reverse (11221122102201), we get a palindrome (113422343224311).

It can be divided in two parts, 1022012 and 21122110, that added together give a palindrome (22144122).

The spelling of 102201221122110 in words is "one hundred two trillion, two hundred one billion, two hundred twenty-one million, one hundred twenty-two thousand, one hundred ten".