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101221121212020 = 223356113759223337
BaseRepresentation
bin10111000000111101100000…
…111110010011111001110100
3111021101122101222022101021000
4113000331200332103321310
5101231401324012241040
6555140201404123300
730214661513163015
oct2700754076237164
9437348358271230
10101221121212020
112a285700105497
12b4293b8836530
1344631594a5234
141add1b24c300c
15ba7ed889c130
hex5c0f60f93e74

101221121212020 has 192 divisors, whose sum is σ = 320097312460800. Its totient is φ = 26547753784320.

The previous prime is 101221121211983. The next prime is 101221121212027. The reversal of 101221121212020 is 20212121122101.

101221121212020 is a `hidden beast` number, since 101 + 2 + 211 + 212 + 120 + 20 = 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 = 101221121211984 and 101221121212002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101221121212027) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 453109792 + ... + 453333128.

It is an arithmetic number, because the mean of its divisors is an integer number (1667173502400).

Almost surely, 2101221121212020 is an apocalyptic number.

101221121212020 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 101221121212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160048656230400).

101221121212020 is an abundant number, since it is smaller than the sum of its proper divisors (218876191248780).

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

101221121212020 is a wasteful number, since it uses less digits than its factorization.

101221121212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237175 (or 237167 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 101221121212020 its reverse (20212121122101), we get a palindrome (121433242334121).

The spelling of 101221121212020 in words is "one hundred one trillion, two hundred twenty-one billion, one hundred twenty-one million, two hundred twelve thousand, twenty".