10202201101000 has 64 divisors (see below), whose sum is σ = 23879021428080. Its totient is φ = 4079876876800.

The previous prime is 10202201100947. The next prime is 10202201101039. The reversal of 10202201101000 is 10110220201.

It can be written as a sum of positive squares in 8 ways, for example, as 1069970947236 + 9132230153764 = 1034394^2 + 3021958^2 .

It is a super-2 number, since 2×10202201101000² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2820582 + ... + 5325418.

Almost surely, 2^{10202201101000} is an apocalyptic number.

10202201101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10202201101000 is an abundant number, since it is smaller than the sum of its proper divisors (13676820327080).

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

10202201101000 is a wasteful number, since it uses less digits than its factorization.

10202201101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2508931 (or 2508917 counting only the distinct ones).

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

Adding to 10202201101000 its reverse (10110220201), we get a palindrome (10212311321201).

The spelling of 10202201101000 in words is "ten trillion, two hundred two billion, two hundred one million, one hundred one thousand".