2101122072 has 256 divisors, whose sum is σ = 7230643200. Its totient is φ = 551577600.

The previous prime is 2101122047. The next prime is 2101122073. The reversal of 2101122072 is 2702211012.

It is a happy number.

It is a super-2 number, since 2×2101122072² = 8829427922891146368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2101122073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1104322 + ... + 1106222.

It is an arithmetic number, because the mean of its divisors is an integer number (28244700).

Almost surely, 2^2101122072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101122072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3615321600).

2101122072 is an abundant number, since it is smaller than the sum of its proper divisors (5129521128).

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

2101122072 is a wasteful number, since it uses less digits than its factorization.

2101122072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1983 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The square root of 2101122072 is about 45837.9981238274. The cubic root of 2101122072 is about 1280.8072040635.

Adding to 2101122072 its reverse (2702211012), we get a palindrome (4803333084).

The spelling of 2101122072 in words is "two billion, one hundred one million, one hundred twenty-two thousand, seventy-two".