2101101011010 has 192 divisors, whose sum is σ = 5864194132992. Its totient is φ = 520698190848.

The previous prime is 2101101010999. The next prime is 2101101011011. The reversal of 2101101011010 is 101101011012.

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 = 2101101010983 and 2101101011001.

It is not an unprimeable number, because it can be changed into a prime (2101101011011) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13249912 + ... + 13407548.

It is an arithmetic number, because the mean of its divisors is an integer number (30542677776).

Almost surely, 2^{2101101011010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101101011010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2932097066496).

2101101011010 is an abundant number, since it is smaller than the sum of its proper divisors (3763093121982).

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

2101101011010 is a wasteful number, since it uses less digits than its factorization.

2101101011010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157857 (or 157854 counting only the distinct ones).

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

Adding to 2101101011010 its reverse (101101011012), we get a palindrome (2202202022022).

The spelling of 2101101011010 in words is "two trillion, one hundred one billion, one hundred one million, eleven thousand, ten".