101101012121010 has 256 divisors, whose sum is σ = 268342737960960. Its totient is φ = 24174138240000.

The previous prime is 101101012121009. The next prime is 101101012121027. The reversal of 101101012121010 is 10121210101101.

It is a super-2 number, since 2×101101012121010² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11448417295 + ... + 11448426125.

It is an arithmetic number, because the mean of its divisors is an integer number (1048213820160).

Almost surely, 2^{101101012121010} is an apocalyptic number.

101101012121010 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 101101012121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134171368980480).

101101012121010 is an abundant number, since it is smaller than the sum of its proper divisors (167241725839950).

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

101101012121010 is a wasteful number, since it uses less digits than its factorization.

101101012121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10225.

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

Adding to 101101012121010 its reverse (10121210101101), we get a palindrome (111222222222111).

The spelling of 101101012121010 in words is "one hundred one trillion, one hundred one billion, twelve million, one hundred twenty-one thousand, ten".