101121200202113 has 64 divisors (see below), whose sum is σ = 129995979939840. Its totient is φ = 76454017440768.

The previous prime is 101121200202109. The next prime is 101121200202137. The reversal of 101121200202113 is 311202002121101.

It is a happy number.

It is not a de Polignac number, because 101121200202113 - 2² = 101121200202109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101121200202091 and 101121200202100.

It is not an unprimeable number, because it can be changed into a prime (101121200202163) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12363512258 + ... + 12363520436.

It is an arithmetic number, because the mean of its divisors is an integer number (2031187186560).

Almost surely, 2^{101121200202113} is an apocalyptic number.

101121200202113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

101121200202113 is a deficient number, since it is larger than the sum of its proper divisors (28874779737727).

101121200202113 is a wasteful number, since it uses less digits than its factorization.

101121200202113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13318.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101121200202113 its reverse (311202002121101), we get a palindrome (412323202323214).

The spelling of 101121200202113 in words is "one hundred one trillion, one hundred twenty-one billion, two hundred million, two hundred two thousand, one hundred thirteen".