10001102100 has 144 divisors (see below), whose sum is σ = 31629600576. Its totient is φ = 2419712000.

The previous prime is 10001102093. The next prime is 10001102101. The reversal of 10001102100 is 120110001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001102101) 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, 1835380 + ... + 1840820.

It is an arithmetic number, because the mean of its divisors is an integer number (219650004).

Almost surely, 2^10001102100 is an apocalyptic number.

10001102100 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 10001102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15814800288).

10001102100 is an abundant number, since it is smaller than the sum of its proper divisors (21628498476).

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

10001102100 is a wasteful number, since it uses less digits than its factorization.

10001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6026 (or 6019 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10001102100 its reverse (120110001), we get a palindrome (10121212101).

It can be divided in two parts, 10001 and 102100, that added together give a triangular number (112101 = T₄₇₃).

The spelling of 10001102100 in words is "ten billion, one million, one hundred two thousand, one hundred".