2010101829100 has 36 divisors (see below), whose sum is σ = 4551569712144. Its totient is φ = 769082438080.

The previous prime is 2010101829067. The next prime is 2010101829101. The reversal of 2010101829100 is 19281010102.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2010101829101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436976359 + ... + 436980958.

It is an arithmetic number, because the mean of its divisors is an integer number (126432492004).

Almost surely, 2^{2010101829100} is an apocalyptic number.

2010101829100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2010101829100 is an abundant number, since it is smaller than the sum of its proper divisors (2541467883044).

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

2010101829100 is a wasteful number, since it uses less digits than its factorization.

2010101829100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873957354 (or 873957347 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 25.

Adding to 2010101829100 its reverse (19281010102), we get a palindrome (2029382839202).

The spelling of 2010101829100 in words is "two trillion, ten billion, one hundred one million, eight hundred twenty-nine thousand, one hundred".