10101200001200 has 720 divisors, whose sum is σ = 31223542065408. Its totient is φ = 3105043200000.

The previous prime is 10101200001161. The next prime is 10101200001253. The reversal of 10101200001200 is 210000210101.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6685108445 + ... + 6685109955.

Almost surely, 2^{10101200001200} is an apocalyptic number.

10101200001200 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 10101200001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15611771032704).

10101200001200 is an abundant number, since it is smaller than the sum of its proper divisors (21122342064208).

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

10101200001200 is a wasteful number, since it uses less digits than its factorization.

10101200001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1944 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10101200001200 its reverse (210000210101), we get a palindrome (10311200211301).

The spelling of 10101200001200 in words is "ten trillion, one hundred one billion, two hundred million, one thousand, two hundred".