100200210210100 has 1152 divisors, whose sum is σ = 313294571864064. Its totient is φ = 26796718080000.

The previous prime is 100200210210071. The next prime is 100200210210101. The reversal of 100200210210100 is 1012012002001.

It is a super-2 number, since 2×100200210210100² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100200210210101) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25580853342 + ... + 25580857258.

It is an arithmetic number, because the mean of its divisors is an integer number (271957093632).

Almost surely, 2^{100200210210100} is an apocalyptic number.

100200210210100 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 100200210210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156647285932032).

100200210210100 is an abundant number, since it is smaller than the sum of its proper divisors (213094361653964).

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

100200210210100 is a wasteful number, since it uses less digits than its factorization.

100200210210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4297 (or 4290 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 100200210210100 its reverse (1012012002001), we get a palindrome (101212222212101).

The spelling of 100200210210100 in words is "one hundred trillion, two hundred billion, two hundred ten million, two hundred ten thousand, one hundred".