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1021210210100 = 225241249075661
BaseRepresentation
bin11101101110001001101…
…11110010111100110100
310121121220220011201220002
432313010313302330310
5113212414303210400
62101045410530432
7133531353364163
oct16670467627464
93547826151802
101021210210100
113641025a4753
12145b01296a18
13753b8601012
14375d93593da
151b86d887ed5
hexedc4df2f34

1021210210100 has 36 divisors (see below), whose sum is σ = 2270075583468. Its totient is φ = 398521056000.

The previous prime is 1021210210073. The next prime is 1021210210109. The reversal of 1021210210100 is 10120121201.

It can be written as a sum of positive squares in 6 ways, for example, as 119154755344 + 902055454756 = 345188^2 + 949766^2 .

It is a super-2 number, since 2×10212102101002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1021210210109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124533731 + ... + 124541930.

Almost surely, 21021210210100 is an apocalyptic number.

1021210210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1021210210100 is an abundant number, since it is smaller than the sum of its proper divisors (1248865373368).

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

1021210210100 is a wasteful number, since it uses less digits than its factorization.

1021210210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249075716 (or 249075709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 1021210210100 its reverse (10120121201), we get a palindrome (1031330331301).

The spelling of 1021210210100 in words is "one trillion, twenty-one billion, two hundred ten million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 4100 249075661 498151322 996302644 1245378305 2490756610 4981513220 6226891525 10212102101 12453783050 20424204202 24907566100 40848408404 51060510505 102121021010 204242042020 255302552525 510605105050 1021210210100