10202201011100 has 216 divisors, whose sum is σ = 26471462311728. Its totient is φ = 3401518848000.

The previous prime is 10202201011073. The next prime is 10202201011109. The reversal of 10202201011100 is 111010220201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10202201011109) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29172275 + ... + 29519925.

It is an arithmetic number, because the mean of its divisors is an integer number (122553066258).

Almost surely, 2^{10202201011100} is an apocalyptic number.

10202201011100 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 10202201011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13235731155864).

10202201011100 is an abundant number, since it is smaller than the sum of its proper divisors (16269261300628).

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

10202201011100 is a wasteful number, since it uses less digits than its factorization.

10202201011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 347845 (or 347831 counting only the distinct ones).

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

Adding to 10202201011100 its reverse (111010220201), we get a palindrome (10313211231301).

The spelling of 10202201011100 in words is "ten trillion, two hundred two billion, two hundred one million, eleven thousand, one hundred".