1102121321220 has 72 divisors (see below), whose sum is σ = 3343812053400. Its totient is φ = 293836538880.

The previous prime is 1102121321219. The next prime is 1102121321221. The reversal of 1102121321220 is 221231212011.

1102121321220 is a `hidden beast` number, since 1 + 1 + 0 + 2 + 121 + 321 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (1102121321219) and next prime (1102121321221).

It can be written as a sum of positive squares in 4 ways, for example, as 276423876 + 1101844897344 = 16626^2 + 1049688^2 .

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 = 1102121321193 and 1102121321202.

It is not an unprimeable number, because it can be changed into a prime (1102121321221) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201306 + ... + 1498254.

It is an arithmetic number, because the mean of its divisors is an integer number (46441834075).

Almost surely, 2^{1102121321220} is an apocalyptic number.

1102121321220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102121321220 is an abundant number, since it is smaller than the sum of its proper divisors (2241690732180).

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

1102121321220 is a wasteful number, since it uses less digits than its factorization.

1102121321220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301685 (or 1301680 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 1102121321220 its reverse (221231212011), we get a palindrome (1323352533231).

The spelling of 1102121321220 in words is "one trillion, one hundred two billion, one hundred twenty-one million, three hundred twenty-one thousand, two hundred twenty".