10121146501 has 16 divisors (see below), whose sum is σ = 10273623984. Its totient is φ = 9970253824.

The previous prime is 10121146447. The next prime is 10121146517. The reversal of 10121146501 is 10564112101.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 3959681476 + 6161465025 = 62926^2 + 78495^2 .

It is a cyclic number.

It is not a de Polignac number, because 10121146501 - 2⁹ = 10121145989 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10121146601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10358925 + ... + 10359901.

It is an arithmetic number, because the mean of its divisors is an integer number (642101499).

Almost surely, 2^10121146501 is an apocalyptic number.

It is an amenable number.

10121146501 is a deficient number, since it is larger than the sum of its proper divisors (152477483).

10121146501 is a wasteful number, since it uses less digits than its factorization.

10121146501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640.

The product of its (nonzero) digits is 240, while the sum is 22.

Adding to 10121146501 its reverse (10564112101), we get a palindrome (20685258602).

The spelling of 10121146501 in words is "ten billion, one hundred twenty-one million, one hundred forty-six thousand, five hundred one".