112100202120101 has 16 divisors (see below), whose sum is σ = 121422311403120. Its totient is φ = 102877964152320.

The previous prime is 112100202120031. The next prime is 112100202120133. The reversal of 112100202120101 is 101021202001211.

It can be written as a sum of positive squares in 8 ways, for example, as 95042724100 + 112005159396001 = 308290^2 + 10583249^2 .

It is a cyclic number.

It is not a de Polignac number, because 112100202120101 - 2²² = 112100197925797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112100202122101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323478161 + ... + 323824521.

It is an arithmetic number, because the mean of its divisors is an integer number (7588894462695).

Almost surely, 2^{112100202120101} is an apocalyptic number.

It is an amenable number.

112100202120101 is a deficient number, since it is larger than the sum of its proper divisors (9322109283019).

112100202120101 is a wasteful number, since it uses less digits than its factorization.

112100202120101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490456.

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

Adding to 112100202120101 its reverse (101021202001211), we get a palindrome (213121404121312).

The spelling of 112100202120101 in words is "one hundred twelve trillion, one hundred billion, two hundred two million, one hundred twenty thousand, one hundred one".