101201121012010 has 48 divisors (see below), whose sum is σ = 189213255714816. Its totient is φ = 38969524020000.

The previous prime is 101201121011909. The next prime is 101201121012011. The reversal of 101201121012010 is 10210121102101.

It is a happy number.

It is a super-3 number, since 3×101201121012010³ (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (101201121012011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25732066 + ... + 29403085.

It is an arithmetic number, because the mean of its divisors is an integer number (3941942827392).

Almost surely, 2^{101201121012010} is an apocalyptic number.

101201121012010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101201121012010 is a deficient number, since it is larger than the sum of its proper divisors (88012134702806).

101201121012010 is a wasteful number, since it uses less digits than its factorization.

101201121012010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55135411 (or 55135380 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 101201121012010 its reverse (10210121102101), we get a palindrome (111411242114111).

Subtracting from 101201121012010 its reverse (10210121102101), we obtain a palindrome (90990999909909).

The spelling of 101201121012010 in words is "one hundred one trillion, two hundred one billion, one hundred twenty-one million, twelve thousand, ten".