102101221420 has 144 divisors (see below), whose sum is σ = 249145116192. Its totient is φ = 34841297920.

The previous prime is 102101221393. The next prime is 102101221423. The reversal of 102101221420 is 24122101201.

It is a junction number, because it is equal to n+sod(n) for n = 102101221394 and 102101221403.

It is not an unprimeable number, because it can be changed into a prime (102101221423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6159864 + ... + 6176416.

It is an arithmetic number, because the mean of its divisors is an integer number (1730174418).

Almost surely, 2^102101221420 is an apocalyptic number.

102101221420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102101221420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124572558096).

102101221420 is an abundant number, since it is smaller than the sum of its proper divisors (147043894772).

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

102101221420 is a wasteful number, since it uses less digits than its factorization.

102101221420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16672 (or 16647 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102101221420 its reverse (24122101201), we get a palindrome (126223322621).

The spelling of 102101221420 in words is "one hundred two billion, one hundred one million, two hundred twenty-one thousand, four hundred twenty".