102120201121212 has 96 divisors (see below), whose sum is σ = 266835031276800. Its totient is φ = 33773092948800.

The previous prime is 102120201121201. The next prime is 102120201121249. The reversal of 102120201121212 is 212121102021201.

102120201121212 is a `hidden beast` number, since 10 + 2 + 120 + 201 + 121 + 212 = 666.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20761762 + ... + 25204982.

It is an arithmetic number, because the mean of its divisors is an integer number (2779531575800).

Almost surely, 2^{102120201121212} is an apocalyptic number.

102120201121212 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 102120201121212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133417515638400).

102120201121212 is an abundant number, since it is smaller than the sum of its proper divisors (164714830155588).

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

102120201121212 is a wasteful number, since it uses less digits than its factorization.

102120201121212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4444904 (or 4444896 counting only the distinct ones).

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

Adding to 102120201121212 its reverse (212121102021201), we get a palindrome (314241303142413).

The spelling of 102120201121212 in words is "one hundred two trillion, one hundred twenty billion, two hundred one million, one hundred twenty-one thousand, two hundred twelve".