1101012001120 has 48 divisors (see below), whose sum is σ = 2601235658448. Its totient is φ = 440388748800.

The previous prime is 1101012001049. The next prime is 1101012001151. The reversal of 1101012001120 is 211002101011.

It is a super-2 number, since 2×1101012001120² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1101012001097 and 1101012001106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4907395 + ... + 5126845.

It is an arithmetic number, because the mean of its divisors is an integer number (54192409551).

Almost surely, 2^{1101012001120} is an apocalyptic number.

1101012001120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1101012001120 is an abundant number, since it is smaller than the sum of its proper divisors (1500223657328).

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

1101012001120 is a wasteful number, since it uses less digits than its factorization.

1101012001120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250823 (or 250815 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1101012001120 its reverse (211002101011), we get a palindrome (1312014102131).

The spelling of 1101012001120 in words is "one trillion, one hundred one billion, twelve million, one thousand, one hundred twenty".