2130101100000 has 864 divisors, whose sum is σ = 7947272092032. Its totient is φ = 540518400000.

The previous prime is 2130101099981. The next prime is 2130101100073. The reversal of 2130101100000 is 11010312.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1565099320 + ... + 1565100680.

It is an arithmetic number, because the mean of its divisors is an integer number (9198231588).

Almost surely, 2^{2130101100000} is an apocalyptic number.

2130101100000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130101100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3973636046016).

2130101100000 is an abundant number, since it is smaller than the sum of its proper divisors (5817170992032).

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

2130101100000 is a wasteful number, since it uses less digits than its factorization.

2130101100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1455 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2130101100000 its reverse (11010312), we get a palindrome (2130112110312).

It can be divided in two parts, 213010 and 1100000, that added together give a triangular number (1313010 = T₁₆₂₀).

The spelling of 2130101100000 in words is "two trillion, one hundred thirty billion, one hundred one million, one hundred thousand".