10145023621002 has 24 divisors (see below), whose sum is σ = 21985790039460. Its totient is φ = 3380919843840.

The previous prime is 10145023620959. The next prime is 10145023621009. The reversal of 10145023621002 is 20012632054101.

10145023621002 is a `hidden beast` number, since 1 + 0 + 14 + 5 + 0 + 23 + 621 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 9399859314561 + 745164306441 = 3065919^2 + 863229^2 .

It is a super-6 number, since 6×10145023621002⁶ (a number of 79 digits) contains 666666 as substring. Note that it is a super-d number also for d = 3.

It is not an unprimeable number, because it can be changed into a prime (10145023621009) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62808477 + ... + 62969792.

Almost surely, 2^{10145023621002} is an apocalyptic number.

10145023621002 is an abundant number, since it is smaller than the sum of its proper divisors (11840766418458).

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

10145023621002 is a wasteful number, since it uses less digits than its factorization.

10145023621002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125782758 (or 125782755 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10145023621002 its reverse (20012632054101), we get a palindrome (30157655675103).

The spelling of 10145023621002 in words is "ten trillion, one hundred forty-five billion, twenty-three million, six hundred twenty-one thousand, two".