10102020010101 has 14 divisors (see below), whose sum is σ = 15146101333110. Its totient is φ = 6734680006248.

The previous prime is 10102020010057. The next prime is 10102020010133. The reversal of 10102020010101 is 10101002020101.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 6451727000625 + 3650293009476 = 2540025^2 + 1910574^2 .

It is not a de Polignac number, because 10102020010101 - 2⁷ = 10102020009973 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102020010171) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 6928682406 + ... + 6928683863.

Almost surely, 2^{10102020010101} is an apocalyptic number.

It is an amenable number.

10102020010101 is a deficient number, since it is larger than the sum of its proper divisors (5044081323009).

10102020010101 is an frugal number, since it uses more digits than its factorization.

10102020010101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13857366287 (or 13857366272 counting only the distinct ones).

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

Adding to 10102020010101 its reverse (10101002020101), we get a palindrome (20203022030202).

The spelling of 10102020010101 in words is "ten trillion, one hundred two billion, twenty million, ten thousand, one hundred one".