1021202201000 has 128 divisors (see below), whose sum is σ = 2476794996000. Its totient is φ = 393632512000.

The previous prime is 1021202200957. The next prime is 1021202201009. The reversal of 1021202201000 is 1022021201.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 84724073476 + 936478127524 = 291074^2 + 967718^2 .

It is not an unprimeable number, because it can be changed into a prime (1021202201009) 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, 15075206 + ... + 15142794.

Almost surely, 2^{1021202201000} is an apocalyptic number.

1021202201000 is a gapful number since it is divisible by the number (10) 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 1021202201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1238397498000).

1021202201000 is an abundant number, since it is smaller than the sum of its proper divisors (1455592795000).

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

1021202201000 is a wasteful number, since it uses less digits than its factorization.

1021202201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68160 (or 68146 counting only the distinct ones).

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

Adding to 1021202201000 its reverse (1022021201), we get a palindrome (1022224222201).

The spelling of 1021202201000 in words is "one trillion, twenty-one billion, two hundred two million, two hundred one thousand".