10102020001101 has 144 divisors (see below), whose sum is σ = 17966396448000. Its totient is φ = 5356281655296.

The previous prime is 10102020001069. The next prime is 10102020001103. The reversal of 10102020001101 is 10110002020101.

It is a happy number.

It is not a de Polignac number, because 10102020001101 - 2⁵ = 10102020001069 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 (10102020001103) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 565518696 + ... + 565536558.

It is an arithmetic number, because the mean of its divisors is an integer number (124766642000).

Almost surely, 2^{10102020001101} is an apocalyptic number.

It is an amenable number.

10102020001101 is a deficient number, since it is larger than the sum of its proper divisors (7864376446899).

10102020001101 is a wasteful number, since it uses less digits than its factorization.

10102020001101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18348 (or 18328 counting only the distinct ones).

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

Adding to 10102020001101 its reverse (10110002020101), we get a palindrome (20212022021202).

The spelling of 10102020001101 in words is "ten trillion, one hundred two billion, twenty million, one thousand, one hundred one".