10201101010100 has 1728 divisors, whose sum is σ = 33115877948160. Its totient is φ = 2670796800000.

The previous prime is 10201101010081. The next prime is 10201101010123. The reversal of 10201101010100 is 101010110201.

It is a happy number.

It is a super-3 number, since 3×10201101010100³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 73389215831 + ... + 73389215969.

It is an arithmetic number, because the mean of its divisors is an integer number (19164281220).

Almost surely, 2^{10201101010100} is an apocalyptic number.

10201101010100 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 10201101010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16557938974080).

10201101010100 is an abundant number, since it is smaller than the sum of its proper divisors (22914776938060).

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

10201101010100 is a wasteful number, since it uses less digits than its factorization.

10201101010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 10201101010100 its reverse (101010110201), we get a palindrome (10302111120301).

The spelling of 10201101010100 in words is "ten trillion, two hundred one billion, one hundred one million, ten thousand, one hundred".