101012200100113 has 8 divisors (see below), whose sum is σ = 104543335137600. Its totient is φ = 97484262110928.

The previous prime is 101012200100093. The next prime is 101012200100159. The reversal of 101012200100113 is 311001002210101.

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 101012200100113 - 2³⁷ = 100874761146641 is a prime.

It is a super-2 number, since 2×101012200100113² (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 = 101012200100093 and 101012200100102.

It is not an unprimeable number, because it can be changed into a prime (101012200800113) 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, 799197781 + ... + 799324162.

It is an arithmetic number, because the mean of its divisors is an integer number (13067916892200).

Almost surely, 2^{101012200100113} is an apocalyptic number.

It is an amenable number.

101012200100113 is a deficient number, since it is larger than the sum of its proper divisors (3531135037487).

101012200100113 is a wasteful number, since it uses less digits than its factorization.

101012200100113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598524151.

The product of its (nonzero) digits is 12, while the sum is 13.

Adding to 101012200100113 its reverse (311001002210101), we get a palindrome (412013202310214).

The spelling of 101012200100113 in words is "one hundred one trillion, twelve billion, two hundred million, one hundred thousand, one hundred thirteen".