102124213044220 has 192 divisors, whose sum is σ = 235834152704640. Its totient is φ = 36988268544000.

The previous prime is 102124213044173. The next prime is 102124213044241. The reversal of 102124213044220 is 22440312421201.

It is a super-3 number, since 3×102124213044220³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 966858571 + ... + 966964189.

It is an arithmetic number, because the mean of its divisors is an integer number (1228302878670).

Almost surely, 2^{102124213044220} is an apocalyptic number.

102124213044220 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 102124213044220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117917076352320).

102124213044220 is an abundant number, since it is smaller than the sum of its proper divisors (133709939660420).

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

102124213044220 is a wasteful number, since it uses less digits than its factorization.

102124213044220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106544 (or 106542 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

Adding to 102124213044220 its reverse (22440312421201), we get a palindrome (124564525465421).

The spelling of 102124213044220 in words is "one hundred two trillion, one hundred twenty-four billion, two hundred thirteen million, forty-four thousand, two hundred twenty".