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1001021001020 = 225101990150051
BaseRepresentation
bin11101001000100011000…
…00000100110100111100
310112200210212121122120122
432210101200010310330
5112400042334013040
62043510202034112
7132215143055255
oct16442140046474
93480725548518
101001021001020
11356592293097
12142007aa8938
137351b979961
1436641c9db2c
151b08b1e51b5
hexe911804d3c

1001021001020 has 48 divisors (see below), whose sum is σ = 2123214248736. Its totient is φ = 396396000000.

The previous prime is 1001021001011. The next prime is 1001021001031. The reversal of 1001021001020 is 201001201001.

It is a junction number, because it is equal to n+sod(n) for n = 1001021000989 and 1001021001007.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19974995 + ... + 20025045.

It is an arithmetic number, because the mean of its divisors is an integer number (44233630182).

Almost surely, 21001021001020 is an apocalyptic number.

1001021001020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001021001020 is an abundant number, since it is smaller than the sum of its proper divisors (1122193247716).

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

1001021001020 is a wasteful number, since it uses less digits than its factorization.

1001021001020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60062 (or 60060 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1001021001020 its reverse (201001201001), we get a palindrome (1202022202021).

The spelling of 1001021001020 in words is "one trillion, one billion, twenty-one million, one thousand, twenty".

Divisors: 1 2 4 5 10 20 101 202 404 505 1010 2020 9901 19802 39604 49505 50051 99010 100102 198020 200204 250255 500510 1000001 1001020 2000002 4000004 5000005 5055151 10000010 10110302 20000020 20220604 25275755 50551510 101103020 495554951 991109902 1982219804 2477774755 4955549510 9911099020 50051050051 100102100102 200204200204 250255250255 500510500510 1001021001020