1021012100200 has 192 divisors, whose sum is σ = 2567049984000. Its totient is φ = 376766208000.

The previous prime is 1021012100159. The next prime is 1021012100201. The reversal of 1021012100200 is 20012101201.

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

It is not an unprimeable number, because it can be changed into a prime (1021012100201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14168260 + ... + 14240140.

It is an arithmetic number, because the mean of its divisors is an integer number (13370052000).

Almost surely, 2^{1021012100200} is an apocalyptic number.

1021012100200 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 1021012100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1283524992000).

1021012100200 is an abundant number, since it is smaller than the sum of its proper divisors (1546037883800).

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

1021012100200 is a wasteful number, since it uses less digits than its factorization.

1021012100200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72036 (or 72027 counting only the distinct ones).

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

Adding to 1021012100200 its reverse (20012101201), we get a palindrome (1041024201401).

The spelling of 1021012100200 in words is "one trillion, twenty-one billion, twelve million, one hundred thousand, two hundred".