102120131101212 has 108 divisors (see below), whose sum is σ = 308397538973160. Its totient is φ = 28388607855552.

The previous prime is 102120131101169. The next prime is 102120131101231. The reversal of 102120131101212 is 212101131021201.

It is a happy number.

102120131101212 is a `hidden beast` number, since 10 + 21 + 201 + 311 + 0 + 121 + 2 = 666.

It is a super-2 number, since 2×102120131101212² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 782248662 + ... + 782379197.

It is an arithmetic number, because the mean of its divisors is an integer number (2855532768270).

Almost surely, 2^{102120131101212} is an apocalyptic number.

102120131101212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102120131101212 is an abundant number, since it is smaller than the sum of its proper divisors (206277407871948).

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

102120131101212 is a wasteful number, since it uses less digits than its factorization.

102120131101212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564627920 (or 1564627908 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102120131101212 its reverse (212101131021201), we get a palindrome (314221262122413).

The spelling of 102120131101212 in words is "one hundred two trillion, one hundred twenty billion, one hundred thirty-one million, one hundred one thousand, two hundred twelve".