2111211010100 has 36 divisors (see below), whose sum is σ = 4586636686464. Its totient is φ = 843505824480.

The previous prime is 2111211010093. The next prime is 2111211010109. The reversal of 2111211010100 is 10101121112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2111211010109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12145514 + ... + 12318113.

It is an arithmetic number, because the mean of its divisors is an integer number (127406574624).

Almost surely, 2^{2111211010100} is an apocalyptic number.

2111211010100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2111211010100 is an abundant number, since it is smaller than the sum of its proper divisors (2475425676364).

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

2111211010100 is a wasteful number, since it uses less digits than its factorization.

2111211010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24464504 (or 24464497 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 2111211010100 its reverse (10101121112), we get a palindrome (2121312131212).

It can be divided in two parts, 211121 and 1010100, that added together give a palindrome (1221221).

The spelling of 2111211010100 in words is "two trillion, one hundred eleven billion, two hundred eleven million, ten thousand, one hundred".