1011012100000 has 864 divisors, whose sum is σ = 3135752267760. Its totient is φ = 318689280000.

The previous prime is 1011012099973. The next prime is 1011012100027. The reversal of 1011012100000 is 12101101.

It is an interprime number because it is at equal distance from previous prime (1011012099973) and next prime (1011012100027).

It can be written as a sum of positive squares in 24 ways, for example, as 339287610256 + 671724489744 = 582484^2 + 819588^2 .

It is a Harshad number since it is a multiple of its sum of digits (7).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4414899886 + ... + 4414900114.

Almost surely, 2^{1011012100000} is an apocalyptic number.

1011012100000 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 1011012100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1567876133880).

1011012100000 is an abundant number, since it is smaller than the sum of its proper divisors (2124740167760).

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

1011012100000 is an equidigital number, since it uses as much as digits as its factorization.

1011012100000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 348 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1011012100000 its reverse (12101101), we get a palindrome (1011024201101).

The spelling of 1011012100000 in words is "one trillion, eleven billion, twelve million, one hundred thousand".