2010100111110 has 768 divisors, whose sum is σ = 7011164160000. Its totient is φ = 387709120512.

The previous prime is 2010100111093. The next prime is 2010100111111. The reversal of 2010100111110 is 111110010102.

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 = 2010100111092 and 2010100111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2010100111111) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 731210016 + ... + 731212764.

It is an arithmetic number, because the mean of its divisors is an integer number (9129120000).

Almost surely, 2^{2010100111110} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2010100111110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505582080000).

2010100111110 is an abundant number, since it is smaller than the sum of its proper divisors (5001064048890).

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

2010100111110 is a wasteful number, since it uses less digits than its factorization.

2010100111110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2965 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 2010100111110 its reverse (111110010102), we get a palindrome (2121210121212).

The spelling of 2010100111110 in words is "two trillion, ten billion, one hundred million, one hundred eleven thousand, one hundred ten".