102212210222220 has 192 divisors, whose sum is σ = 338424121082880. Its totient is φ = 22552746789888.

The previous prime is 102212210222183. The next prime is 102212210222279. The reversal of 102212210222220 is 22222012212201.

102212210222220 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102212210222220² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61381662 + ... + 63024858.

It is an arithmetic number, because the mean of its divisors is an integer number (1762625630640).

Almost surely, 2^{102212210222220} is an apocalyptic number.

102212210222220 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 102212210222220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169212060541440).

102212210222220 is an abundant number, since it is smaller than the sum of its proper divisors (236211910860660).

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

102212210222220 is a wasteful number, since it uses less digits than its factorization.

102212210222220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648352 (or 1648350 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 102212210222220 its reverse (22222012212201), we get a palindrome (124434222434421).

The spelling of 102212210222220 in words is "one hundred two trillion, two hundred twelve billion, two hundred ten million, two hundred twenty-two thousand, two hundred twenty".