2101012001100 has 288 divisors, whose sum is σ = 6891379756800. Its totient is φ = 548966937600.

The previous prime is 2101012001083. The next prime is 2101012001107. The reversal of 2101012001100 is 11002101012.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (2101012001107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 48883620 + ... + 48926580.

Almost surely, 2^{2101012001100} is an apocalyptic number.

2101012001100 is a gapful number since it is divisible by the number (20) 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 2101012001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3445689878400).

2101012001100 is an abundant number, since it is smaller than the sum of its proper divisors (4790367755700).

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

2101012001100 is a wasteful number, since it uses less digits than its factorization.

2101012001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43350 (or 43337 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 2101012001100 its reverse (11002101012), we get a palindrome (2112014102112).

The spelling of 2101012001100 in words is "two trillion, one hundred one billion, twelve million, one thousand, one hundred".