10201000010490 has 48 divisors (see below), whose sum is σ = 26592580591200. Its totient is φ = 2713089175776.

The previous prime is 10201000010489. The next prime is 10201000010491. The reversal of 10201000010490 is 9401000010201.

It is an interprime number because it is at equal distance from previous prime (10201000010489) and next prime (10201000010491).

It is a super-2 number, since 2×10201000010490² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10201000010491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149496820 + ... + 149565039.

It is an arithmetic number, because the mean of its divisors is an integer number (554012095650).

Almost surely, 2^{10201000010490} is an apocalyptic number.

10201000010490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10201000010490 is an abundant number, since it is smaller than the sum of its proper divisors (16391580580710).

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

10201000010490 is a wasteful number, since it uses less digits than its factorization.

10201000010490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299062251 (or 299062248 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10201000010490 its reverse (9401000010201), we get a palindrome (19602000020691).

The spelling of 10201000010490 in words is "ten trillion, two hundred one billion, ten thousand, four hundred ninety".