101211011200100 has 144 divisors (see below), whose sum is σ = 222351824822400. Its totient is φ = 39984535557120.

The previous prime is 101211011200073. The next prime is 101211011200109. The reversal of 101211011200100 is 1002110112101.

It is not an unprimeable number, because it can be changed into a prime (101211011200109) 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, 6475839086 + ... + 6475854714.

It is an arithmetic number, because the mean of its divisors is an integer number (1544109894600).

Almost surely, 2^{101211011200100} is an apocalyptic number.

101211011200100 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 101211011200100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111175912411200).

101211011200100 is an abundant number, since it is smaller than the sum of its proper divisors (121140813622300).

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

101211011200100 is a wasteful number, since it uses less digits than its factorization.

101211011200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17382 (or 17375 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101211011200100 its reverse (1002110112101), we get a palindrome (102213121312201).

The spelling of 101211011200100 in words is "one hundred one trillion, two hundred eleven billion, eleven million, two hundred thousand, one hundred".