101200211100 has 216 divisors, whose sum is σ = 335105687280. Its totient is φ = 25474176000.

The previous prime is 101200211069. The next prime is 101200211173. The reversal of 101200211100 is 1112002101.

It is a happy number.

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 71 ways as a sum of consecutive naturals, for example, 4794570 + ... + 4815630.

Almost surely, 2^101200211100 is an apocalyptic number.

101200211100 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 101200211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167552843640).

101200211100 is an abundant number, since it is smaller than the sum of its proper divisors (233905476180).

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

101200211100 is a wasteful number, since it uses less digits than its factorization.

101200211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21381 (or 21371 counting only the distinct ones).

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

Adding to 101200211100 its reverse (1112002101), we get a palindrome (102312213201).

The spelling of 101200211100 in words is "one hundred one billion, two hundred million, two hundred eleven thousand, one hundred".