101121011100 has 432 divisors, whose sum is σ = 350717552640. Its totient is φ = 24280819200.

The previous prime is 101121011083. The next prime is 101121011111. The reversal of 101121011100 is 1110121101.

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

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, 23740771 + ... + 23745029.

Almost surely, 2^101121011100 is an apocalyptic number.

101121011100 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 101121011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175358776320).

101121011100 is an abundant number, since it is smaller than the sum of its proper divisors (249596541540).

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

101121011100 is a wasteful number, since it uses less digits than its factorization.

101121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4370 (or 4360 counting only the distinct ones).

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

Adding to 101121011100 its reverse (1110121101), we get a palindrome (102231132201).

The spelling of 101121011100 in words is "one hundred one billion, one hundred twenty-one million, eleven thousand, one hundred".