1000211112100 has 18 divisors (see below), whose sum is σ = 2170458113474. Its totient is φ = 400084444800.

The previous prime is 1000211112053. The next prime is 1000211112119. The reversal of 1000211112100 is 12111120001.

It can be written as a sum of positive squares in 3 ways, for example, as 103114200996 + 897096911104 = 321114^2 + 947152^2 .

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

It is an unprimeable number.

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

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5001055461 + ... + 5001055660.

Almost surely, 2^{1000211112100} is an apocalyptic number.

1000211112100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1000211112100 is an abundant number, since it is smaller than the sum of its proper divisors (1170247001374).

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

1000211112100 is a wasteful number, since it uses less digits than its factorization.

1000211112100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10002111135 (or 10002111128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1000211112100 its reverse (12111120001), we get a palindrome (1012322232101).

It can be divided in two parts, 100021 and 1112100, that added together give a palindrome (1212121).

The spelling of 1000211112100 in words is "one trillion, two hundred eleven million, one hundred twelve thousand, one hundred".