1011211020100 has 72 divisors (see below), whose sum is σ = 2203818573320. Its totient is φ = 402737080320.

The previous prime is 1011211020049. The next prime is 1011211020139. The reversal of 1011211020100 is 10201121101.

It can be written as a sum of positive squares in 12 ways, for example, as 730980540676 + 280230479424 = 854974^2 + 529368^2 .

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 (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41233042 + ... + 41257558.

Almost surely, 2^{1011211020100} is an apocalyptic number.

1011211020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011211020100 is an abundant number, since it is smaller than the sum of its proper divisors (1192607553220).

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

1011211020100 is a wasteful number, since it uses less digits than its factorization.

1011211020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26297 (or 26290 counting only the distinct ones).

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

Adding to 1011211020100 its reverse (10201121101), we get a palindrome (1021412141201).

The spelling of 1011211020100 in words is "one trillion, eleven billion, two hundred eleven million, twenty thousand, one hundred".