10210111012101 has 96 divisors (see below), whose sum is σ = 18785606289408. Its totient is φ = 4763632239360.

The previous prime is 10210111012099. The next prime is 10210111012177. The reversal of 10210111012101 is 10121011101201.

It is not a de Polignac number, because 10210111012101 - 2¹ = 10210111012099 is a prime.

It is a super-2 number, since 2×10210111012101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210111010101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2869336 + ... + 5352878.

It is an arithmetic number, because the mean of its divisors is an integer number (195683398848).

Almost surely, 2^{10210111012101} is an apocalyptic number.

10210111012101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210111012101 is a deficient number, since it is larger than the sum of its proper divisors (8575495277307).

10210111012101 is a wasteful number, since it uses less digits than its factorization.

10210111012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2483651 (or 2483614 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 12.

Adding to 10210111012101 its reverse (10121011101201), we get a palindrome (20331122113302).

The spelling of 10210111012101 in words is "ten trillion, two hundred ten billion, one hundred eleven million, twelve thousand, one hundred one".