100010202211100 has 72 divisors (see below), whose sum is σ = 218700592110000. Its totient is φ = 39694749452800.

The previous prime is 100010202211081. The next prime is 100010202211121. The reversal of 100010202211100 is 1112202010001.

It is a super-2 number, since 2×100010202211100² (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, 132838526 + ... + 133589274.

It is an arithmetic number, because the mean of its divisors is an integer number (3037508223750).

Almost surely, 2^{100010202211100} is an apocalyptic number.

100010202211100 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 100010202211100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109350296055000).

100010202211100 is an abundant number, since it is smaller than the sum of its proper divisors (118690389898900).

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

100010202211100 is a wasteful number, since it uses less digits than its factorization.

100010202211100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761063 (or 761056 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100010202211100 its reverse (1112202010001), we get a palindrome (101122404221101).

The spelling of 100010202211100 in words is "one hundred trillion, ten billion, two hundred two million, two hundred eleven thousand, one hundred".