101012221002 has 192 divisors, whose sum is σ = 265492684800. Its totient is φ = 25309065600.

The previous prime is 101012220949. The next prime is 101012221133. The reversal of 101012221002 is 200122210101.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34987203 + ... + 34990089.

It is an arithmetic number, because the mean of its divisors is an integer number (1382774400).

Almost surely, 2^101012221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101012221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132746342400).

101012221002 is an abundant number, since it is smaller than the sum of its proper divisors (164480463798).

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

101012221002 is a wasteful number, since it uses less digits than its factorization.

101012221002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3297 (or 3290 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101012221002 its reverse (200122210101), we get a palindrome (301134431103).

The spelling of 101012221002 in words is "one hundred one billion, twelve million, two hundred twenty-one thousand, two".