1101010110000 has 200 divisors, whose sum is σ = 3650270776944. Its totient is φ = 285667200000.

The previous prime is 1101010109971. The next prime is 1101010110017. The reversal of 1101010110000 is 110101011.

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 614050 + ... + 1605950.

Almost surely, 2^{1101010110000} is an apocalyptic number.

1101010110000 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 1101010110000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1825135388472).

1101010110000 is an abundant number, since it is smaller than the sum of its proper divisors (2549260666944).

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

1101010110000 is an equidigital number, since it uses as much as digits as its factorization.

1101010110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991969 (or 991948 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 1101010110000 its reverse (110101011), we get a palindrome (1101120211011).

1101010110000 divided by its reverse (110101011) gives a 4-th power (10000 = 10⁴).

The spelling of 1101010110000 in words is "one trillion, one hundred one billion, ten million, one hundred ten thousand".