2211110010100 has 72 divisors (see below), whose sum is σ = 4817246459480. Its totient is φ = 880921681920.

The previous prime is 2211110010097. The next prime is 2211110010101. The reversal of 2211110010100 is 10100111122.

It can be written as a sum of positive squares in 12 ways, for example, as 62874559504 + 2148235450596 = 250748^2 + 1465686^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211110010101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33565996 + ... + 33631804.

Almost surely, 2^{2211110010100} is an apocalyptic number.

2211110010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211110010100 is an abundant number, since it is smaller than the sum of its proper divisors (2606136449380).

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

2211110010100 is a wasteful number, since it uses less digits than its factorization.

2211110010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67157 (or 67150 counting only the distinct ones).

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

Adding to 2211110010100 its reverse (10100111122), we get a palindrome (2221210121222).

The spelling of 2211110010100 in words is "two trillion, two hundred eleven billion, one hundred ten million, ten thousand, one hundred".