100211301213100 has 576 divisors, whose sum is σ = 297530076856320. Its totient is φ = 28340272742400.

The previous prime is 100211301213077. The next prime is 100211301213181. The reversal of 100211301213100 is 1312103112001.

It is a happy number.

It is a super-2 number, since 2×100211301213100² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 527824789 + ... + 528014611.

It is an arithmetic number, because the mean of its divisors is an integer number (516545272320).

Almost surely, 2^{100211301213100} is an apocalyptic number.

100211301213100 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 100211301213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148765038428160).

100211301213100 is an abundant number, since it is smaller than the sum of its proper divisors (197318775643220).

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

100211301213100 is a wasteful number, since it uses less digits than its factorization.

100211301213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190018 (or 190011 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 100211301213100 its reverse (1312103112001), we get a palindrome (101523404325101).

The spelling of 100211301213100 in words is "one hundred trillion, two hundred eleven billion, three hundred one million, two hundred thirteen thousand, one hundred".