102220101021200 has 120 divisors (see below), whose sum is σ = 246424595373768. Its totient is φ = 40748112138240.

The previous prime is 102220101021187. The next prime is 102220101021209. The reversal of 102220101021200 is 2120101022201.

It can be written as a sum of positive squares in 12 ways, for example, as 48061275525376 + 54158825495824 = 6932624^2 + 7359268^2 .

It is not an unprimeable number, because it can be changed into a prime (102220101021209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 562432742 + ... + 562614458.

Almost surely, 2^{102220101021200} is an apocalyptic number.

102220101021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102220101021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123212297686884).

102220101021200 is an abundant number, since it is smaller than the sum of its proper divisors (144204494352568).

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

102220101021200 is a wasteful number, since it uses less digits than its factorization.

102220101021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186541 (or 186530 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102220101021200 its reverse (2120101022201), we get a palindrome (104340202043401).

The spelling of 102220101021200 in words is "one hundred two trillion, two hundred twenty billion, one hundred one million, twenty-one thousand, two hundred".