101101033331100 has 432 divisors, whose sum is σ = 355100184216960. Its totient is φ = 23843396390400.

The previous prime is 101101033331093. The next prime is 101101033331117. The reversal of 101101033331100 is 1133330101101.

Added to its reverse (1133330101101) it gives a square (102234363432201 = 10111101²).

101101033331100 is a `hidden beast` number, since 1 + 0 + 1 + 10 + 10 + 333 + 311 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3127819539 + ... + 3127851861.

Almost surely, 2^{101101033331100} is an apocalyptic number.

101101033331100 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 101101033331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177550092108480).

101101033331100 is an abundant number, since it is smaller than the sum of its proper divisors (253999150885860).

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

101101033331100 is a wasteful number, since it uses less digits than its factorization.

101101033331100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40930 (or 40920 counting only the distinct ones).

The product of its (nonzero) digits is 81, while the sum is 18.

Adding to 101101033331100 its reverse (1133330101101), we get a palindrome (102234363432201).

The spelling of 101101033331100 in words is "one hundred one trillion, one hundred one billion, thirty-three million, three hundred thirty-one thousand, one hundred".