10102400101 has 8 divisors (see below), whose sum is σ = 10765926144. Its totient is φ = 9457565040.

The previous prime is 10102400089. The next prime is 10102400167. The reversal of 10102400101 is 10100420101.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 10102400101 - 2²⁹ = 9565529189 is a prime.

It is a super-3 number, since 3×10102400101³ (a number of 31 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102400171) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4671630 + ... + 4673791.

It is an arithmetic number, because the mean of its divisors is an integer number (1345740768).

Almost surely, 2^10102400101 is an apocalyptic number.

It is an amenable number.

10102400101 is a deficient number, since it is larger than the sum of its proper divisors (663526043).

10102400101 is an equidigital number, since it uses as much as digits as its factorization.

10102400101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9345491.

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

Adding to 10102400101 its reverse (10100420101), we get a palindrome (20202820202).

The spelling of 10102400101 in words is "ten billion, one hundred two million, four hundred thousand, one hundred one".