2122101000 has 96 divisors (see below), whose sum is σ = 7172731800. Its totient is φ = 565891200.

The previous prime is 2122100993. The next prime is 2122101017. The reversal of 2122101000 is 1012212.

It can be written as a sum of positive squares in 4 ways, for example, as 1223180676 + 898920324 = 34974^2 + 29982^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 108895 + ... + 126894.

Almost surely, 2^2122101000 is an apocalyptic number.

2122101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2122101000 is an abundant number, since it is smaller than the sum of its proper divisors (5050630800).

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

2122101000 is a wasteful number, since it uses less digits than its factorization.

2122101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235816 (or 235799 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 2122101000 is about 46066.2674850047. The cubic root of 2122101000 is about 1285.0558904163.

Adding to 2122101000 its reverse (1012212), we get a palindrome (2123113212).

The spelling of 2122101000 in words is "two billion, one hundred twenty-two million, one hundred one thousand".