10200212122100 has 288 divisors, whose sum is σ = 29759211288576. Its totient is φ = 2930755161600.

The previous prime is 10200212122091. The next prime is 10200212122127. The reversal of 10200212122100 is 122121200201.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 74305727 + ... + 74442873.

It is an arithmetic number, because the mean of its divisors is an integer number (103330594752).

Almost surely, 2^{10200212122100} is an apocalyptic number.

10200212122100 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 10200212122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14879605644288).

10200212122100 is an abundant number, since it is smaller than the sum of its proper divisors (19558999166476).

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

10200212122100 is a wasteful number, since it uses less digits than its factorization.

10200212122100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137935 (or 137928 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10200212122100 its reverse (122121200201), we get a palindrome (10322333322301).

The spelling of 10200212122100 in words is "ten trillion, two hundred billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".