102012200001000 has 384 divisors, whose sum is σ = 362736597600000. Its totient is φ = 25820033164800.

The previous prime is 102012200000951. The next prime is 102012200001011. The reversal of 102012200001000 is 100002210201.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12086701 + ... + 18711299.

It is an arithmetic number, because the mean of its divisors is an integer number (944626556250).

Almost surely, 2^{102012200001000} is an apocalyptic number.

102012200001000 is a gapful number since it is divisible by the number (10) 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 102012200001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181368298800000).

102012200001000 is an abundant number, since it is smaller than the sum of its proper divisors (260724397599000).

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

102012200001000 is a wasteful number, since it uses less digits than its factorization.

102012200001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6624714 (or 6624697 counting only the distinct ones).

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

Adding to 102012200001000 its reverse (100002210201), we get a palindrome (102112202211201).

The spelling of 102012200001000 in words is "one hundred two trillion, twelve billion, two hundred million, one thousand".