10011011012100 has 864 divisors, whose sum is σ = 38341098012672. Its totient is φ = 2136637440000.

The previous prime is 10011011012083. The next prime is 10011011012117. The reversal of 10011011012100 is 121011011001.

It is an interprime number because it is at equal distance from previous prime (10011011012083) and next prime (10011011012117).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 287 ways as a sum of consecutive naturals, for example, 651708420 + ... + 651723780.

It is an arithmetic number, because the mean of its divisors is an integer number (44376270848).

Almost surely, 2^{10011011012100} is an apocalyptic number.

10011011012100 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 10011011012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19170549006336).

10011011012100 is an abundant number, since it is smaller than the sum of its proper divisors (28330087000572).

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

10011011012100 is a wasteful number, since it uses less digits than its factorization.

10011011012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15537 (or 15527 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10011011012100 its reverse (121011011001), we get a palindrome (10132022023101).

The spelling of 10011011012100 in words is "ten trillion, eleven billion, eleven million, twelve thousand, one hundred".