102101000300113 has 8 divisors (see below), whose sum is σ = 102615144121856. Its totient is φ = 101587141882800.

The previous prime is 102101000300087. The next prime is 102101000300129. The reversal of 102101000300113 is 311003000101201.

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 102101000300113 - 2¹⁷ = 102101000169041 is a prime.

It is a super-2 number, since 2×102101000300113² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102101000300093 and 102101000300102.

It is not an unprimeable number, because it can be changed into a prime (102101000300153) 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, 70633806 + ... + 72064807.

It is an arithmetic number, because the mean of its divisors is an integer number (12826893015232).

Almost surely, 2^{102101000300113} is an apocalyptic number.

It is an amenable number.

102101000300113 is a deficient number, since it is larger than the sum of its proper divisors (514143821743).

102101000300113 is a wasteful number, since it uses less digits than its factorization.

102101000300113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142702215.

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 102101000300113 its reverse (311003000101201), we get a palindrome (413104000401314).

The spelling of 102101000300113 in words is "one hundred two trillion, one hundred one billion, three hundred thousand, one hundred thirteen".