1020210211200 has 192 divisors, whose sum is σ = 3393591077520. Its totient is φ = 269362176000.

The previous prime is 1020210211177. The next prime is 1020210211211. The reversal of 1020210211200 is 21120120201.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443502 + ... + 1495698.

Almost surely, 2^{1020210211200} is an apocalyptic number.

1020210211200 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 1020210211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696795538760).

1020210211200 is an abundant number, since it is smaller than the sum of its proper divisors (2373380866320).

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

1020210211200 is a wasteful number, since it uses less digits than its factorization.

1020210211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052325 (or 1052308 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020210211200 its reverse (21120120201), we get a palindrome (1041330331401).

Subtracting from 1020210211200 its reverse (21120120201), we obtain a palindrome (999090090999).

The spelling of 1020210211200 in words is "one trillion, twenty billion, two hundred ten million, two hundred eleven thousand, two hundred".