101111110100100 has 216 divisors, whose sum is σ = 317348327747360. Its totient is φ = 26927155607040.

The previous prime is 101111110100069. The next prime is 101111110100173. The reversal of 101111110100100 is 1001011111101.

It is a super-3 number, since 3×101111110100100³ (a number of 43 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2107467312 + ... + 2107515288.

Almost surely, 2^{101111110100100} is an apocalyptic number.

101111110100100 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 101111110100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158674163873680).

101111110100100 is an abundant number, since it is smaller than the sum of its proper divisors (216237217647260).

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

101111110100100 is a wasteful number, since it uses less digits than its factorization.

101111110100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51059 (or 51049 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

Adding to 101111110100100 its reverse (1001011111101), we get a palindrome (102112121211201).

It can be divided in two parts, 1011 and 11110100100, that added together give a palindrome (11110101111).

The spelling of 101111110100100 in words is "one hundred one trillion, one hundred eleven billion, one hundred ten million, one hundred thousand, one hundred".