101020221221010 has 192 divisors, whose sum is σ = 300082832904960. Its totient is φ = 21310953431040.

The previous prime is 101020221220973. The next prime is 101020221221041. The reversal of 101020221221010 is 10122122020101.

101020221221010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 239737386 + ... + 240158394.

It is an arithmetic number, because the mean of its divisors is an integer number (1562931421380).

Almost surely, 2^{101020221221010} is an apocalyptic number.

101020221221010 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 101020221221010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150041416452480).

101020221221010 is an abundant number, since it is smaller than the sum of its proper divisors (199062611683950).

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

101020221221010 is a wasteful number, since it uses less digits than its factorization.

101020221221010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427813 (or 427800 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101020221221010 its reverse (10122122020101), we get a palindrome (111142343241111).

The spelling of 101020221221010 in words is "one hundred one trillion, twenty billion, two hundred twenty-one million, two hundred twenty-one thousand, ten".