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2022121012100 = 2252713012220403
BaseRepresentation
bin11101011011001111110…
…011011111101110000100
321011022110002102200211112
4131123033303133232010
5231112300434341400
64144541035024152
7266044021001510
oct35331763375604
97138402380745
102022121012100
1170a63865a672
12287a9829b058
131188ba4a5b47
146dc2a731140
1537900061835
hex1d6cfcdfb84

2022121012100 has 72 divisors (see below), whose sum is σ = 5018716989888. Its totient is φ = 692765424000.

The previous prime is 2022121012099. The next prime is 2022121012117. The reversal of 2022121012100 is 12101212202.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199502 + ... + 2020901.

Almost surely, 22022121012100 is an apocalyptic number.

2022121012100 is a gapful number since it is divisible by the number (20) 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 2022121012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2509358494944).

2022121012100 is an abundant number, since it is smaller than the sum of its proper divisors (2996595977788).

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

2022121012100 is a wasteful number, since it uses less digits than its factorization.

2022121012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2221725 (or 2221718 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 2022121012100 its reverse (12101212202), we get a palindrome (2034222224302).

The spelling of 2022121012100 in words is "two trillion, twenty-two billion, one hundred twenty-one million, twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 1301 2602 5204 6505 9107 13010 18214 26020 32525 36428 45535 65050 91070 130100 182140 227675 455350 910700 2220403 4440806 8881612 11102015 15542821 22204030 31085642 44408060 55510075 62171284 77714105 111020150 155428210 222040300 310856420 388570525 777141050 1554282100 2888744303 5777488606 11554977212 14443721515 20221210121 28887443030 40442420242 57774886060 72218607575 80884840484 101106050605 144437215150 202212101210 288874430300 404424202420 505530253025 1011060506050 2022121012100