1102111121100 has 72 divisors (see below), whose sum is σ = 3478663476288. Its totient is φ = 267178452800.

The previous prime is 1102111121071. The next prime is 1102111121129. The reversal of 1102111121100 is 11211112011.

It is an interprime number because it is at equal distance from previous prime (1102111121071) and next prime (1102111121129).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166983234 + ... + 166989833.

It is an arithmetic number, because the mean of its divisors is an integer number (48314770504).

Almost surely, 2^{1102111121100} is an apocalyptic number.

1102111121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1102111121100 is an abundant number, since it is smaller than the sum of its proper divisors (2376552355188).

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

1102111121100 is a wasteful number, since it uses less digits than its factorization.

1102111121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333973095 (or 333973088 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 1102111121100 its reverse (11211112011), we get a palindrome (1113322233111).

It can be divided in two parts, 11021 and 11121100, that added together give a triangular number (11132121 = T₄₇₁₈).

The spelling of 1102111121100 in words is "one trillion, one hundred two billion, one hundred eleven million, one hundred twenty-one thousand, one hundred".