102211101120220 has 48 divisors (see below), whose sum is σ = 217595884222080. Its totient is φ = 40322108883456.

The previous prime is 102211101120209. The next prime is 102211101120229. The reversal of 102211101120220 is 22021101112201.

It is a junction number, because it is equal to n+sod(n) for n = 102211101120194 and 102211101120203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102211101120229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24082734 + ... + 28007146.

It is an arithmetic number, because the mean of its divisors is an integer number (4533247587960).

Almost surely, 2^{102211101120220} is an apocalyptic number.

102211101120220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102211101120220 is an abundant number, since it is smaller than the sum of its proper divisors (115384783101860).

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

102211101120220 is a wasteful number, since it uses less digits than its factorization.

102211101120220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3942334 (or 3942332 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102211101120220 its reverse (22021101112201), we get a palindrome (124232202232421).

The spelling of 102211101120220 in words is "one hundred two trillion, two hundred eleven billion, one hundred one million, one hundred twenty thousand, two hundred twenty".