10000000201100 has 144 divisors (see below), whose sum is σ = 26755144727808. Its totient is φ = 3159212232960.

The previous prime is 10000000201091. The next prime is 10000000201109. The reversal of 10000000201100 is 110200000001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10000000201091) and next prime (10000000201109).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is not an unprimeable number, because it can be changed into a prime (10000000201109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4147367 + ... + 6099233.

Almost surely, 2^{10000000201100} is an apocalyptic number.

10000000201100 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 10000000201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13377572363904).

10000000201100 is an abundant number, since it is smaller than the sum of its proper divisors (16755144526708).

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

10000000201100 is a wasteful number, since it uses less digits than its factorization.

10000000201100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952464 (or 1952457 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 5.

Adding to 10000000201100 its reverse (110200000001), we get a palindrome (10110200201101).

The spelling of 10000000201100 in words is "ten trillion, two hundred one thousand, one hundred".