10020101102101 has 8 divisors (see below), whose sum is σ = 10029841715744. Its totient is φ = 10010360883600.

The previous prime is 10020101102093. The next prime is 10020101102107. The reversal of 10020101102101 is 10120110102001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10020101102101 - 2³ = 10020101102093 is a prime.

It is a super-2 number, since 2×10020101102101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020101102107) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91648270 + ... + 91757536.

It is an arithmetic number, because the mean of its divisors is an integer number (1253730214468).

Almost surely, 2^{10020101102101} is an apocalyptic number.

It is an amenable number.

10020101102101 is a deficient number, since it is larger than the sum of its proper divisors (9740613643).

10020101102101 is a wasteful number, since it uses less digits than its factorization.

10020101102101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197571.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10020101102101 its reverse (10120110102001), we get a palindrome (20140211204102).

The spelling of 10020101102101 in words is "ten trillion, twenty billion, one hundred one million, one hundred two thousand, one hundred one".