101002022111100 has 576 divisors, whose sum is σ = 352385117908992. Its totient is φ = 22033245696000.

The previous prime is 101002022111093. The next prime is 101002022111101. The reversal of 101002022111100 is 1111220200101.

It is a super-4 number, since 4×101002022111100⁴ (a number of 57 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101002022111101) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3110897067 + ... + 3110929533.

It is an arithmetic number, because the mean of its divisors is an integer number (611779718592).

Almost surely, 2^{101002022111100} is an apocalyptic number.

101002022111100 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 101002022111100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176192558954496).

101002022111100 is an abundant number, since it is smaller than the sum of its proper divisors (251383095797892).

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

101002022111100 is a wasteful number, since it uses less digits than its factorization.

101002022111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34946 (or 34939 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101002022111100 its reverse (1111220200101), we get a palindrome (102113242311201).

The spelling of 101002022111100 in words is "one hundred one trillion, two billion, twenty-two million, one hundred eleven thousand, one hundred".