102212020120000 has 140 divisors (see below), whose sum is σ = 289660104783280. Its totient is φ = 35044121088000.

The previous prime is 102212020119973. The next prime is 102212020120079. The reversal of 102212020120000 is 21020212201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (140).

It is a super-2 number, since 2×102212020120000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 182241465 + ... + 182801464.

It is an arithmetic number, because the mean of its divisors is an integer number (2069000748452).

Almost surely, 2^{102212020120000} is an apocalyptic number.

102212020120000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102212020120000 is an abundant number, since it is smaller than the sum of its proper divisors (187448084663280).

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

102212020120000 is an frugal number, since it uses more digits than its factorization.

102212020120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365042968 (or 365042943 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 102212020120000 its reverse (21020212201), we get a palindrome (102233040332201).

The spelling of 102212020120000 in words is "one hundred two trillion, two hundred twelve billion, twenty million, one hundred twenty thousand".