102121222002012 has 96 divisors (see below), whose sum is σ = 268227076812800. Its totient is φ = 33594852223296.

The previous prime is 102121222001819. The next prime is 102121222002067. The reversal of 102121222002012 is 210200222121201.

It is a happy number.

102121222002012 is a `hidden beast` number, since 10 + 21 + 212 + 220 + 0 + 201 + 2 = 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, 16953933 + ... + 22173819.

Almost surely, 2^{102121222002012} is an apocalyptic number.

102121222002012 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 102121222002012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134113538406400).

102121222002012 is an abundant number, since it is smaller than the sum of its proper divisors (166105854810788).

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

102121222002012 is a wasteful number, since it uses less digits than its factorization.

102121222002012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5222272 (or 5222264 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102121222002012 its reverse (210200222121201), we get a palindrome (312321444123213).

The spelling of 102121222002012 in words is "one hundred two trillion, one hundred twenty-one billion, two hundred twenty-two million, two thousand, twelve".