101011121201010 has 128 divisors (see below), whose sum is σ = 249951424230144. Its totient is φ = 26105970401280.

The previous prime is 101011121201009. The next prime is 101011121201027. The reversal of 101011121201010 is 10102121110101.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 924134682 + ... + 924243978.

It is an arithmetic number, because the mean of its divisors is an integer number (1952745501798).

Almost surely, 2^{101011121201010} is an apocalyptic number.

101011121201010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101011121201010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124975712115072).

101011121201010 is an abundant number, since it is smaller than the sum of its proper divisors (148940303029134).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101011121201010 is a wasteful number, since it uses less digits than its factorization.

101011121201010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112588.

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

Adding to 101011121201010 its reverse (10102121110101), we get a palindrome (111113242311111).

Subtracting from 101011121201010 its reverse (10102121110101), we obtain a palindrome (90909000090909).

The spelling of 101011121201010 in words is "one hundred one trillion, eleven billion, one hundred twenty-one million, two hundred one thousand, ten".