2010100121001 has 48 divisors (see below), whose sum is σ = 3426775497600. Its totient is φ = 1134789596640.

The previous prime is 2010100120999. The next prime is 2010100121017. The reversal of 2010100121001 is 1001210010102.

It is a happy number.

It is not a de Polignac number, because 2010100121001 - 2¹ = 2010100120999 is a prime.

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 (2010100121041) 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, 3666370 + ... + 4178811.

It is an arithmetic number, because the mean of its divisors is an integer number (71391156200).

Almost surely, 2^{2010100121001} is an apocalyptic number.

2010100121001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

2010100121001 is a deficient number, since it is larger than the sum of its proper divisors (1416675376599).

2010100121001 is an equidigital number, since it uses as much as digits as its factorization.

2010100121001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7845291 (or 7845274 counting only the distinct ones).

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

Adding to 2010100121001 its reverse (1001210010102), we get a palindrome (3011310131103).

The spelling of 2010100121001 in words is "two trillion, ten billion, one hundred million, one hundred twenty-one thousand, one".