102212022222000 has 480 divisors, whose sum is σ = 358076677143744. Its totient is φ = 27173892096000.

The previous prime is 102212022221983. The next prime is 102212022222043. The reversal of 102212022222000 is 222220212201.

102212022222000 is a `hidden beast` number, since 1 + 0 + 221 + 2 + 0 + 222 + 220 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8526900007 + ... + 8526911993.

Almost surely, 2^{102212022222000} is an apocalyptic number.

102212022222000 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 102212022222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179038338571872).

102212022222000 is an abundant number, since it is smaller than the sum of its proper divisors (255864654921744).

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

102212022222000 is a wasteful number, since it uses less digits than its factorization.

102212022222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13414 (or 13395 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102212022222000 its reverse (222220212201), we get a palindrome (102434242434201).

The spelling of 102212022222000 in words is "one hundred two trillion, two hundred twelve billion, twenty-two million, two hundred twenty-two thousand".