100210011002001 has 32 divisors (see below), whose sum is σ = 155304238705920. Its totient is φ = 63741073537152.

The previous prime is 100210011001981. The next prime is 100210011002099. The reversal of 100210011002001 is 100200110012001.

It is a happy number.

It is not a de Polignac number, because 100210011002001 - 2⁶ = 100210011001937 is a prime.

It is a super-2 number, since 2×100210011002001² (a number of 29 digits) contains 22 as substring.

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 (100210011022001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202988700 + ... + 203481773.

It is an arithmetic number, because the mean of its divisors is an integer number (4853257459560).

Almost surely, 2^{100210011002001} is an apocalyptic number.

It is an amenable number.

100210011002001 is a deficient number, since it is larger than the sum of its proper divisors (55094227703919).

100210011002001 is a wasteful number, since it uses less digits than its factorization.

100210011002001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 406470902 (or 406470896 counting only the distinct ones).

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

Adding to 100210011002001 its reverse (100200110012001), we get a palindrome (200410121014002).

The spelling of 100210011002001 in words is "one hundred trillion, two hundred ten billion, eleven million, two thousand, one".