101121121011100 has 72 divisors (see below), whose sum is σ = 221238684817920. Its totient is φ = 40115797182720.

The previous prime is 101121121011067. The next prime is 101121121011173. The reversal of 101121121011100 is 1110121121101.

It is a super-2 number, since 2×101121121011100² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34626606 + ... + 37433194.

It is an arithmetic number, because the mean of its divisors is an integer number (3072759511360).

Almost surely, 2^{101121121011100} is an apocalyptic number.

101121121011100 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 101121121011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110619342408960).

101121121011100 is an abundant number, since it is smaller than the sum of its proper divisors (120117563806820).

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

101121121011100 is a wasteful number, since it uses less digits than its factorization.

101121121011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2809567 (or 2809560 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 13.

Adding to 101121121011100 its reverse (1110121121101), we get a palindrome (102231242132201).

The spelling of 101121121011100 in words is "one hundred one trillion, one hundred twenty-one billion, one hundred twenty-one million, eleven thousand, one hundred".