102200012112101 has 4 divisors (see below), whose sum is σ = 102200123213100. Its totient is φ = 102199901011104.

The previous prime is 102200012112067. The next prime is 102200012112113. The reversal of 102200012112101 is 101211210002201.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 58130728171201 + 44069283940900 = 7624351^2 + 6638470^2 .

It is a cyclic number.

It is not a de Polignac number, because 102200012112101 - 2²² = 102200007917797 is a prime.

It is a super-2 number, since 2×102200012112101² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102200012112901) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54159056 + ... + 56014313.

It is an arithmetic number, because the mean of its divisors is an integer number (25550030803275).

Almost surely, 2^{102200012112101} is an apocalyptic number.

It is an amenable number.

102200012112101 is a deficient number, since it is larger than the sum of its proper divisors (111100999).

102200012112101 is an equidigital number, since it uses as much as digits as its factorization.

102200012112101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111100998.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102200012112101 its reverse (101211210002201), we get a palindrome (203411222114302).

The spelling of 102200012112101 in words is "one hundred two trillion, two hundred billion, twelve million, one hundred twelve thousand, one hundred one".