100211110101102 has 256 divisors, whose sum is σ = 270264797945856. Its totient is φ = 23922561600000.

The previous prime is 100211110101061. The next prime is 100211110101103. The reversal of 100211110101102 is 201101011112001.

100211110101102 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100211110101102² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211110101103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5045612652 + ... + 5045632512.

It is an arithmetic number, because the mean of its divisors is an integer number (1055721866976).

Almost surely, 2^{100211110101102} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100211110101102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135132398972928).

100211110101102 is an abundant number, since it is smaller than the sum of its proper divisors (170053687844754).

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

100211110101102 is a wasteful number, since it uses less digits than its factorization.

100211110101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23495.

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 100211110101102 its reverse (201101011112001), we get a palindrome (301312121213103).

The spelling of 100211110101102 in words is "one hundred trillion, two hundred eleven billion, one hundred ten million, one hundred one thousand, one hundred two".