221010101102010 has 256 divisors, whose sum is σ = 608625219299328. Its totient is φ = 50874193843200.

The previous prime is 221010101101991. The next prime is 221010101102027. The reversal of 221010101102010 is 10201101010122.

It is a super-3 number, since 3×221010101102010³ (a number of 44 digits) contains 333 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, 614630392 + ... + 614989868.

It is an arithmetic number, because the mean of its divisors is an integer number (2377442262888).

Almost surely, 2^{221010101102010} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221010101102010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304312609649664).

221010101102010 is an abundant number, since it is smaller than the sum of its proper divisors (387615118197318).

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

221010101102010 is a wasteful number, since it uses less digits than its factorization.

221010101102010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360749.

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

Adding to 221010101102010 its reverse (10201101010122), we get a palindrome (231211202112132).

The spelling of 221010101102010 in words is "two hundred twenty-one trillion, ten billion, one hundred one million, one hundred two thousand, ten".