101012221016 has 64 divisors (see below), whose sum is σ = 218564808000. Its totient is φ = 42869399040.

The previous prime is 101012220949. The next prime is 101012221133. The reversal of 101012221016 is 610122210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012220985 and 101012221003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14285930 + ... + 14292998.

It is an arithmetic number, because the mean of its divisors is an integer number (3415075125).

Almost surely, 2^101012221016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012221016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109282404000).

101012221016 is an abundant number, since it is smaller than the sum of its proper divisors (117552586984).

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

101012221016 is a wasteful number, since it uses less digits than its factorization.

101012221016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9532 (or 9528 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 101012221016 its reverse (610122210101), we get a palindrome (711134431117).

The spelling of 101012221016 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, sixteen".