101101210220010 has 384 divisors, whose sum is σ = 333436080676608. Its totient is φ = 19284894720000.

The previous prime is 101101210220009. The next prime is 101101210220027. The reversal of 101101210220010 is 10022012101101.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36719410 + ... + 39376610.

It is an arithmetic number, because the mean of its divisors is an integer number (868323126762).

Almost surely, 2^{101101210220010} is an apocalyptic number.

101101210220010 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 101101210220010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166718040338304).

101101210220010 is an abundant number, since it is smaller than the sum of its proper divisors (232334870456598).

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

101101210220010 is a wasteful number, since it uses less digits than its factorization.

101101210220010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2657430 (or 2657423 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101101210220010 its reverse (10022012101101), we get a palindrome (111123222321111).

The spelling of 101101210220010 in words is "one hundred one trillion, one hundred one billion, two hundred ten million, two hundred twenty thousand, ten".