10210101112001 has 48 divisors (see below), whose sum is σ = 12190846593024. Its totient is φ = 8521593758496.

The previous prime is 10210101111979. The next prime is 10210101112049. The reversal of 10210101112001 is 10021110101201.

It is a de Polignac number, because none of the positive numbers 2^k-10210101112001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10210101112301) 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, 1328225780 + ... + 1328233466.

It is an arithmetic number, because the mean of its divisors is an integer number (253975970688).

Almost surely, 2^{10210101112001} is an apocalyptic number.

It is an amenable number.

10210101112001 is a deficient number, since it is larger than the sum of its proper divisors (1980745481023).

10210101112001 is a wasteful number, since it uses less digits than its factorization.

10210101112001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9610 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10210101112001 its reverse (10021110101201), we get a palindrome (20231211213202).

The spelling of 10210101112001 in words is "ten trillion, two hundred ten billion, one hundred one million, one hundred twelve thousand, one".