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1002021010120 = 23513174712891871
BaseRepresentation
bin11101001010011010001…
…10110011101011001000
310112210101120022101011201
432211031012303223020
5112404114334310440
62044153323433544
7132252005024554
oct16451506635310
93483346271151
101002021010120
11356a55812799
121422469858b4
137364abbb010
14366d8a10864
151b0e8dc919a
hexe94d1b3ac8

1002021010120 has 256 divisors, whose sum is σ = 2628934963200. Its totient is φ = 340358430720.

The previous prime is 1002021010097. The next prime is 1002021010129. The reversal of 1002021010120 is 210101202001.

1002021010120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10020210101202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002021010097 and 1002021010106.

It is not an unprimeable number, because it can be changed into a prime (1002021010129) 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, 535552785 + ... + 535554655.

It is an arithmetic number, because the mean of its divisors is an integer number (10269277200).

Almost surely, 21002021010120 is an apocalyptic number.

1002021010120 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 1002021010120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1314467481600).

1002021010120 is an abundant number, since it is smaller than the sum of its proper divisors (1626913953080).

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

1002021010120 is a wasteful number, since it uses less digits than its factorization.

1002021010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3248 (or 3244 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1002021010120 its reverse (210101202001), we get a palindrome (1212122212121).

The spelling of 1002021010120 in words is "one trillion, two billion, twenty-one million, ten thousand, one hundred twenty".