10100121100413 has 8 divisors (see below), whose sum is σ = 13480697167776. Its totient is φ = 6726479550000.

The previous prime is 10100121100373. The next prime is 10100121100439. The reversal of 10100121100413 is 31400112100101.

10100121100413 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is not a de Polignac number, because 10100121100413 - 2¹⁰ = 10100121099389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100121100392 and 10100121100401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100121100453) 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, 1733625838 + ... + 1733631663.

It is an arithmetic number, because the mean of its divisors is an integer number (1685087145972).

Almost surely, 2^{10100121100413} is an apocalyptic number.

It is an amenable number.

10100121100413 is a deficient number, since it is larger than the sum of its proper divisors (3380576067363).

10100121100413 is an equidigital number, since it uses as much as digits as its factorization.

10100121100413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3467258475.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 10100121100413 its reverse (31400112100101), we get a palindrome (41500233200514).

The spelling of 10100121100413 in words is "ten trillion, one hundred billion, one hundred twenty-one million, one hundred thousand, four hundred thirteen".