102101321212020 has 288 divisors, whose sum is σ = 345910316693760. Its totient is φ = 25130719411200.

The previous prime is 102101321211853. The next prime is 102101321212031. The reversal of 102101321212020 is 20212123101201.

102101321212020 is a `hidden beast` number, since 1 + 0 + 210 + 132 + 121 + 202 + 0 = 666.

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 = 102101321211984 and 102101321212002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 944550136 + ... + 944658224.

It is an arithmetic number, because the mean of its divisors is an integer number (1201077488520).

Almost surely, 2^{102101321212020} is an apocalyptic number.

102101321212020 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 102101321212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172955158346880).

102101321212020 is an abundant number, since it is smaller than the sum of its proper divisors (243808995481740).

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

102101321212020 is a wasteful number, since it uses less digits than its factorization.

102101321212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123077 (or 123063 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 102101321212020 its reverse (20212123101201), we get a palindrome (122313444313221).

The spelling of 102101321212020 in words is "one hundred two trillion, one hundred one billion, three hundred twenty-one million, two hundred twelve thousand, twenty".