2122101012100 has 36 divisors (see below), whose sum is σ = 4875839152884. Its totient is φ = 798908615680.

The previous prime is 2122101012071. The next prime is 2122101012127. The reversal of 2122101012100 is 12101012212.

It can be written as a sum of positive squares in 6 ways, for example, as 33914168964 + 2088186843136 = 184158^2 + 1445056^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624145657 + ... + 624149056.

It is an arithmetic number, because the mean of its divisors is an integer number (135439976469).

Almost surely, 2^{2122101012100} is an apocalyptic number.

2122101012100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122101012100 is an abundant number, since it is smaller than the sum of its proper divisors (2753738140784).

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

2122101012100 is a wasteful number, since it uses less digits than its factorization.

2122101012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1248294744 (or 1248294737 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 2122101012100 its reverse (12101012212), we get a palindrome (2134202024312).

The spelling of 2122101012100 in words is "two trillion, one hundred twenty-two billion, one hundred one million, twelve thousand, one hundred".