102201121210212 has 288 divisors, whose sum is σ = 266584821414912. Its totient is φ = 33002788220928.

The previous prime is 102201121210183. The next prime is 102201121210219. The reversal of 102201121210212 is 212012121102201.

102201121210212 is a `hidden beast` number, since 1 + 0 + 220 + 1 + 1 + 21 + 210 + 212 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (102201121210219) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60366875238 + ... + 60366876930.

It is an arithmetic number, because the mean of its divisors is an integer number (925641741024).

Almost surely, 2^{102201121210212} is an apocalyptic number.

102201121210212 is a gapful number since it is divisible by the number (12) 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 102201121210212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133292410707456).

102201121210212 is an abundant number, since it is smaller than the sum of its proper divisors (164383700204700).

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

102201121210212 is a wasteful number, since it uses less digits than its factorization.

102201121210212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3587 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102201121210212 its reverse (212012121102201), we get a palindrome (314213242312413).

The spelling of 102201121210212 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-one million, two hundred ten thousand, two hundred twelve".