102213011231220 has 192 divisors, whose sum is σ = 304082302406400. Its totient is φ = 25604359925760.

The previous prime is 102213011231189. The next prime is 102213011231231. The reversal of 102213011231220 is 22132110312201.

It is a super-3 number, since 3×102213011231220³ (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, 2526315351 + ... + 2526355809.

It is an arithmetic number, because the mean of its divisors is an integer number (1583761991700).

Almost surely, 2^{102213011231220} is an apocalyptic number.

102213011231220 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 102213011231220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152041151203200).

102213011231220 is an abundant number, since it is smaller than the sum of its proper divisors (201869291175180).

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

102213011231220 is a wasteful number, since it uses less digits than its factorization.

102213011231220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79778 (or 79776 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 102213011231220 its reverse (22132110312201), we get a palindrome (124345121543421).

The spelling of 102213011231220 in words is "one hundred two trillion, two hundred thirteen billion, eleven million, two hundred thirty-one thousand, two hundred twenty".