201000012000102 has 384 divisors, whose sum is σ = 530843726020608. Its totient is φ = 53767655884800.

The previous prime is 201000012000079. The next prime is 201000012000103. The reversal of 201000012000102 is 201000210000102.

It is a super-2 number, since 2×201000012000102² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201000012000103) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3325417093 + ... + 3325477535.

It is an arithmetic number, because the mean of its divisors is an integer number (1382405536512).

Almost surely, 2^{201000012000102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201000012000102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265421863010304).

201000012000102 is an abundant number, since it is smaller than the sum of its proper divisors (329843714020506).

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

201000012000102 is a wasteful number, since it uses less digits than its factorization.

201000012000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60784 (or 60781 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 201000012000102 its reverse (201000210000102), we get a palindrome (402000222000204).

The spelling of 201000012000102 in words is "two hundred one trillion, twelve million, one hundred two", and thus it is an aban number.