1001102121110 has 288 divisors, whose sum is σ = 2360720941056. Its totient is φ = 298843084800.

The previous prime is 1001102121077. The next prime is 1001102121119. The reversal of 1001102121110 is 111212011001.

It is a super-2 number, since 2×1001102121110² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1001102121091 and 1001102121100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001102121119) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4153950590 + ... + 4153950830.

It is an arithmetic number, because the mean of its divisors is an integer number (8196947712).

Almost surely, 2^{1001102121110} is an apocalyptic number.

1001102121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1001102121110 is an abundant number, since it is smaller than the sum of its proper divisors (1359618819946).

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

1001102121110 is a wasteful number, since it uses less digits than its factorization.

1001102121110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 600 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 1001102121110 its reverse (111212011001), we get a palindrome (1112314132111).

The spelling of 1001102121110 in words is "one trillion, one billion, one hundred two million, one hundred twenty-one thousand, one hundred ten".