102101212202220 has 576 divisors, whose sum is σ = 403310257459200. Its totient is φ = 21063193655040.

The previous prime is 102101212202189. The next prime is 102101212202237. The reversal of 102101212202220 is 22202212101201.

It is a happy number.

102101212202220 is a `hidden beast` number, since 1 + 0 + 210 + 1 + 212 + 20 + 2 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102101212202193 and 102101212202202.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 51035151 + ... + 52998009.

It is an arithmetic number, because the mean of its divisors is an integer number (700191419200).

Almost surely, 2^{102101212202220} is an apocalyptic number.

102101212202220 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 102101212202220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201655128729600).

102101212202220 is an abundant number, since it is smaller than the sum of its proper divisors (301209045256980).

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

102101212202220 is a wasteful number, since it uses less digits than its factorization.

102101212202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1963040 (or 1963026 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102101212202220 its reverse (22202212101201), we get a palindrome (124303424303421).

The spelling of 102101212202220 in words is "one hundred two trillion, one hundred one billion, two hundred twelve million, two hundred two thousand, two hundred twenty".