1000211021200 has 60 divisors (see below), whose sum is σ = 2412978194308. Its totient is φ = 398424268800.

The previous prime is 1000211021197. The next prime is 1000211021221. The reversal of 1000211021200 is 21201120001.

1000211021200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39215088784 + 960995932416 = 198028^2 + 980304^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5091417 + ... + 5284216.

Almost surely, 2^{1000211021200} is an apocalyptic number.

1000211021200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000211021200 is an abundant number, since it is smaller than the sum of its proper divisors (1412767173108).

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

1000211021200 is a wasteful number, since it uses less digits than its factorization.

1000211021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10375892 (or 10375881 counting only the distinct ones).

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

Adding to 1000211021200 its reverse (21201120001), we get a palindrome (1021412141201).

The spelling of 1000211021200 in words is "one trillion, two hundred eleven million, twenty-one thousand, two hundred".