2101311002070 has 512 divisors, whose sum is σ = 6559128576000. Its totient is φ = 468860700672.

The previous prime is 2101311002069. The next prime is 2101311002071. The reversal of 2101311002070 is 702001131012.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2101311002069) and next prime (2101311002071).

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 (2101311002071) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6020948256 + ... + 6020948604.

It is an arithmetic number, because the mean of its divisors is an integer number (12810798000).

Almost surely, 2^{2101311002070} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101311002070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3279564288000).

2101311002070 is an abundant number, since it is smaller than the sum of its proper divisors (4457817573930).

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

2101311002070 is a wasteful number, since it uses less digits than its factorization.

2101311002070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 829 (or 823 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

Adding to 2101311002070 its reverse (702001131012), we get a palindrome (2803312133082).

It can be divided in two parts, 210131 and 1002070, that added together give a square (1212201 = 1101²).

The spelling of 2101311002070 in words is "two trillion, one hundred one billion, three hundred eleven million, two thousand, seventy".