10100200101200 has 240 divisors, whose sum is σ = 26745335635392. Its totient is φ = 3634867200000.

The previous prime is 10100200101193. The next prime is 10100200101239. The reversal of 10100200101200 is 210100200101.

10100200101200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10100200101200³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

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, 1671385379 + ... + 1671391421.

Almost surely, 2^{10100200101200} is an apocalyptic number.

10100200101200 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 10100200101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13372667817696).

10100200101200 is an abundant number, since it is smaller than the sum of its proper divisors (16645135534192).

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

10100200101200 is a wasteful number, since it uses less digits than its factorization.

10100200101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9934 (or 9923 counting only the distinct ones).

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

Adding to 10100200101200 its reverse (210100200101), we get a palindrome (10310300301301).

The spelling of 10100200101200 in words is "ten trillion, one hundred billion, two hundred million, one hundred one thousand, two hundred".