2120210101000 has 32 divisors (see below), whose sum is σ = 4961291638680. Its totient is φ = 848084040000.

The previous prime is 2120210100991. The next prime is 2120210101001. The reversal of 2120210101000 is 1010120212.

It can be written as a sum of positive squares in 4 ways, for example, as 1060615739044 + 1059594361956 = 1029862^2 + 1029366^2 .

It is a super-4 number, since 4×2120210101000⁴ (a number of 50 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (2120210101001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1060104051 + ... + 1060106050.

Almost surely, 2^{2120210101000} is an apocalyptic number.

2120210101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2120210101000 is an abundant number, since it is smaller than the sum of its proper divisors (2841081537680).

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

2120210101000 is a wasteful number, since it uses less digits than its factorization.

2120210101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120210122 (or 2120210108 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 2120210101000 its reverse (1010120212), we get a palindrome (2121220221212).

The spelling of 2120210101000 in words is "two trillion, one hundred twenty billion, two hundred ten million, one hundred one thousand".