102101201024 has 64 divisors (see below), whose sum is σ = 205528155840. Its totient is φ = 50518711296.

The previous prime is 102101201023. The next prime is 102101201039. The reversal of 102101201024 is 420102101201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (102101201023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14555342 + ... + 14562354.

It is an arithmetic number, because the mean of its divisors is an integer number (3211377435).

Almost surely, 2^102101201024 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 102101201024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102764077920).

102101201024 is an abundant number, since it is smaller than the sum of its proper divisors (103426954816).

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

102101201024 is a wasteful number, since it uses less digits than its factorization.

102101201024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8197 (or 8185 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102101201024 its reverse (420102101201), we get a palindrome (522203302225).

The spelling of 102101201024 in words is "one hundred two billion, one hundred one million, two hundred one thousand, twenty-four".