2101101012 has 96 divisors (see below), whose sum is σ = 5702860800. Its totient is φ = 668152800.

The previous prime is 2101100999. The next prime is 2101101029. The reversal of 2101101012 is 2101011012.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2101100985 and 2101101003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 233289 + ... + 242127.

It is an arithmetic number, because the mean of its divisors is an integer number (59404800).

Almost surely, 2^2101101012 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 2101101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2851430400).

2101101012 is an abundant number, since it is smaller than the sum of its proper divisors (3601759788).

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

2101101012 is a wasteful number, since it uses less digits than its factorization.

2101101012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8954 (or 8946 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 2101101012 is about 45837.7684011776. The cubic root of 2101101012 is about 1280.8029247802.

Adding to 2101101012 its reverse (2101011012), we get a palindrome (4202112024).

Subtracting from 2101101012 its reverse (2101011012), we obtain a square (90000 = 300²).

The spelling of 2101101012 in words is "two billion, one hundred one million, one hundred one thousand, twelve".