102121112311020 has 576 divisors, whose sum is σ = 348519592512000. Its totient is φ = 23986484121600.

The previous prime is 102121112311019. The next prime is 102121112311021. The reversal of 102121112311020 is 20113211121201.

It is a happy number.

102121112311020 is a `hidden beast` number, since 10 + 212 + 1 + 112 + 311 + 0 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (102121112311019) and next prime (102121112311021).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102121112310984 and 102121112311002.

It is not an unprimeable number, because it can be changed into a prime (102121112311021) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 34372638135 + ... + 34372641105.

It is an arithmetic number, because the mean of its divisors is an integer number (605068737000).

Almost surely, 2^{102121112311020} is an apocalyptic number.

102121112311020 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 102121112311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174259796256000).

102121112311020 is an abundant number, since it is smaller than the sum of its proper divisors (246398480200980).

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

102121112311020 is a wasteful number, since it uses less digits than its factorization.

102121112311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4846 (or 4841 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 102121112311020 its reverse (20113211121201), we get a palindrome (122234323432221).

The spelling of 102121112311020 in words is "one hundred two trillion, one hundred twenty-one billion, one hundred twelve million, three hundred eleven thousand, twenty".