10100101101200 has 240 divisors, whose sum is σ = 26658861134400. Its totient is φ = 3646851072000.

The previous prime is 10100101101197. The next prime is 10100101101221. The reversal of 10100101101200 is 210110100101.

It is a happy number.

It is a super-2 number, since 2×10100101101200² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 367945076 + ... + 367972524.

It is an arithmetic number, because the mean of its divisors is an integer number (111078588060).

Almost surely, 2^{10100101101200} is an apocalyptic number.

10100101101200 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 10100101101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13329430567200).

10100101101200 is an abundant number, since it is smaller than the sum of its proper divisors (16558760033200).

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

10100101101200 is a wasteful number, since it uses less digits than its factorization.

10100101101200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28066 (or 28055 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10100101101200 its reverse (210110100101), we get a palindrome (10310211201301).

The spelling of 10100101101200 in words is "ten trillion, one hundred billion, one hundred one million, one hundred one thousand, two hundred".