1122136313100 has 144 divisors (see below), whose sum is σ = 3546256775040. Its totient is φ = 271696140800.

The previous prime is 1122136313099. The next prime is 1122136313101. The reversal of 1122136313100 is 13136312211.

It is an interprime number because it is at equal distance from previous prime (1122136313099) and next prime (1122136313101).

It is a super-2 number, since 2×1122136313100² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1122136313101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2459539 + ... + 2879861.

It is an arithmetic number, because the mean of its divisors is an integer number (24626783160).

Almost surely, 2^{1122136313100} is an apocalyptic number.

1122136313100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1122136313100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1773128387520).

1122136313100 is an abundant number, since it is smaller than the sum of its proper divisors (2424120461940).

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

1122136313100 is a wasteful number, since it uses less digits than its factorization.

1122136313100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421160 (or 421153 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The spelling of 1122136313100 in words is "one trillion, one hundred twenty-two billion, one hundred thirty-six million, three hundred thirteen thousand, one hundred".