1100211010100 has 72 divisors (see below), whose sum is σ = 2437830432408. Its totient is φ = 430887168000.

The previous prime is 1100211010081. The next prime is 1100211010111. The reversal of 1100211010100 is 10101120011.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 211859519524 + 888351490576 = 460282^2 + 942524^2 .

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, 450050 + ... + 1550150.

Almost surely, 2^{1100211010100} is an apocalyptic number.

1100211010100 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 1100211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218915216204).

1100211010100 is an abundant number, since it is smaller than the sum of its proper divisors (1337619422308).

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

1100211010100 is a wasteful number, since it uses less digits than its factorization.

1100211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100325 (or 1100318 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 1100211010100 its reverse (10101120011), we get a palindrome (1110312130111).

The spelling of 1100211010100 in words is "one trillion, one hundred billion, two hundred eleven million, ten thousand, one hundred".