10100011011100 has 144 divisors (see below), whose sum is σ = 23573686187520. Its totient is φ = 3743988134400.

The previous prime is 10100011011091. The next prime is 10100011011109. The reversal of 10100011011100 is 111011000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100011011091) and next prime (10100011011109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100011011109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177410640 + ... + 177467560.

It is an arithmetic number, because the mean of its divisors is an integer number (163706154080).

Almost surely, 2^{10100011011100} is an apocalyptic number.

10100011011100 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 10100011011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11786843093760).

10100011011100 is an abundant number, since it is smaller than the sum of its proper divisors (13473675176420).

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

10100011011100 is a wasteful number, since it uses less digits than its factorization.

10100011011100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58988 (or 58981 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 10100011011100 its reverse (111011000101), we get a palindrome (10211022011201).

The spelling of 10100011011100 in words is "ten trillion, one hundred billion, eleven million, eleven thousand, one hundred".