112101202121220 has 96 divisors (see below), whose sum is σ = 375586933626240. Its totient is φ = 27594142058880.

The previous prime is 112101202121219. The next prime is 112101202121221. The reversal of 112101202121220 is 22121202101211.

112101202121220 is a `hidden beast` number, since 1 + 1 + 210 + 1 + 20 + 212 + 1 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (112101202121219) and next prime (112101202121221).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112101202121193 and 112101202121202.

It is not an unprimeable number, because it can be changed into a prime (112101202121221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7984409086 + ... + 7984423125.

It is an arithmetic number, because the mean of its divisors is an integer number (3912363891940).

Almost surely, 2^{112101202121220} is an apocalyptic number.

112101202121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112101202121220 is an abundant number, since it is smaller than the sum of its proper divisors (263485731505020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112101202121220 is a wasteful number, since it uses less digits than its factorization.

112101202121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15968832242 (or 15968832234 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 112101202121220 its reverse (22121202101211), we get a palindrome (134222404222431).

The spelling of 112101202121220 in words is "one hundred twelve trillion, one hundred one billion, two hundred two million, one hundred twenty-one thousand, two hundred twenty".