1102212122100 has 72 divisors (see below), whose sum is σ = 3192763150080. Its totient is φ = 293582580480.

The previous prime is 1102212122087. The next prime is 1102212122113. The reversal of 1102212122100 is 12212122011.

It is an interprime number because it is at equal distance from previous prime (1102212122087) and next prime (1102212122113).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1102212122100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1869745 + ... + 2387544.

It is an arithmetic number, because the mean of its divisors is an integer number (44343932640).

Almost surely, 2^{1102212122100} is an apocalyptic number.

1102212122100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102212122100 is an abundant number, since it is smaller than the sum of its proper divisors (2090551027980).

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

1102212122100 is a wasteful number, since it uses less digits than its factorization.

1102212122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4258169 (or 4258162 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 1102212122100 its reverse (12212122011), we get a palindrome (1114424244111).

The spelling of 1102212122100 in words is "one trillion, one hundred two billion, two hundred twelve million, one hundred twenty-two thousand, one hundred".