2101220201000 has 128 divisors (see below), whose sum is σ = 5120549460000. Its totient is φ = 806057728000.

The previous prime is 2101220200969. The next prime is 2101220201009. The reversal of 2101220201000 is 1020221012.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 890256409156 + 1210963791844 = 943534^2 + 1100438^2 .

It is not an unprimeable number, because it can be changed into a prime (2101220201009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4077860 + ... + 4564140.

Almost surely, 2^{2101220201000} is an apocalyptic number.

2101220201000 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 2101220201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2560274730000).

2101220201000 is an abundant number, since it is smaller than the sum of its proper divisors (3019329259000).

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

2101220201000 is a wasteful number, since it uses less digits than its factorization.

2101220201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486480 (or 486466 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 2101220201000 its reverse (1020221012), we get a palindrome (2102240422012).

The spelling of 2101220201000 in words is "two trillion, one hundred one billion, two hundred twenty million, two hundred one thousand".