10100210313101 has 8 divisors (see below), whose sum is σ = 10631987839680. Its totient is φ = 9568451537568.

The previous prime is 10100210313077. The next prime is 10100210313121. The reversal of 10100210313101 is 10131301200101.

It is a happy number.

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

It is a cyclic number.

It is not a de Polignac number, because 10100210313101 - 2²² = 10100206118797 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 (10100210313121) 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, 3575336 + ... + 5743121.

It is an arithmetic number, because the mean of its divisors is an integer number (1328998479960).

Almost surely, 2^{10100210313101} is an apocalyptic number.

It is an amenable number.

10100210313101 is a deficient number, since it is larger than the sum of its proper divisors (531777526579).

10100210313101 is an equidigital number, since it uses as much as digits as its factorization.

10100210313101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9375523.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10100210313101 its reverse (10131301200101), we get a palindrome (20231511513202).

The spelling of 10100210313101 in words is "ten trillion, one hundred billion, two hundred ten million, three hundred thirteen thousand, one hundred one".