10210101020001 has 6 divisors (see below), whose sum is σ = 14747923695570. Its totient is φ = 6806734013328.

The previous prime is 10210101019969. The next prime is 10210101020011. The reversal of 10210101020001 is 10002010101201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 9276318947025 + 933782072976 = 3045705^2 + 966324^2 .

It is not a de Polignac number, because 10210101020001 - 2⁵ = 10210101019969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1134455668889 = 10210101020001 / (1 + 0 + 2 + 1 + 0 + 1 + 0 + 1 + 0 + 2 + 0 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (10210101020011) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 567227834436 + ... + 567227834453.

It is an arithmetic number, because the mean of its divisors is an integer number (2457987282595).

Almost surely, 2^{10210101020001} is an apocalyptic number.

It is an amenable number.

10210101020001 is a deficient number, since it is larger than the sum of its proper divisors (4537822675569).

10210101020001 is a wasteful number, since it uses less digits than its factorization.

10210101020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134455668895 (or 1134455668892 counting only the distinct ones).

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

Adding to 10210101020001 its reverse (10002010101201), we get a palindrome (20212111121202).

The spelling of 10210101020001 in words is "ten trillion, two hundred ten billion, one hundred one million, twenty thousand, one".