10100101210200 has 384 divisors, whose sum is σ = 36862799112000. Its totient is φ = 2533059993600.

The previous prime is 10100101210193. The next prime is 10100101210261. The reversal of 10100101210200 is 201210100101.

It is a happy number.

10100101210200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

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, 126735966 + ... + 126815634.

Almost surely, 2^{10100101210200} is an apocalyptic number.

10100101210200 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 10100101210200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18431399556000).

10100101210200 is an abundant number, since it is smaller than the sum of its proper divisors (26762697901800).

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

10100101210200 is a wasteful number, since it uses less digits than its factorization.

10100101210200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81092 (or 81077 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10100101210200 its reverse (201210100101), we get a palindrome (10301311310301).

The spelling of 10100101210200 in words is "ten trillion, one hundred billion, one hundred one million, two hundred ten thousand, two hundred".